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Question

What number will be in the place of x?

2.8 : 3.8 : : x : 5.7

The correct answer is
4.2

Proportion Calculation: Finding x

The given problem presents a proportion: $2.8 : 3.8 : : x : 5.7$

This notation means the ratio of the first two numbers is equal to the ratio of the last two numbers. We can write this as an equation:

$ \frac{2.8}{3.8} = \frac{x}{5.7} $

Solving for x

To find the value of x, we need to rearrange the equation.

  1. Isolate x by multiplying both sides of the equation by $5.7$:

    $ x = \frac{2.8}{3.8} \times 5.7 $

  2. Perform the calculation:

    $ x = \frac{2.8 \times 5.7}{3.8} $

    $ x = \frac{15.96}{3.8} $

    $ x = 4.2 $

Therefore, the number in the place of x is $4.2$.

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Important Questions from Ratio and Proportion (Railways)

  1. Find the mean proportional between 7.2 and 20.
  2. If 3A = 4B = 8C, what is A : B : C?
  3. The monthly incomes of two friends Vipul and Vijay, are in the ratio 6 : 7 respectively and each of them saves ₹66,000 every month. If the ratio of their monthly expenditure is 1 : 3, find the monthly income of Vipul (in ₹).
  4. The monthly incomes of two friends Tushar and Salil, are in the ratio 6 : 7 respectively and each of them saves ₹66,000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of Tushar (in ₹).
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