The 'Table of Precedence' in India is a protocol list in which the functionaries and authorities are listed in accordance with their rank and position. Let's examine the provided dignitaries and arrange them according to the official Table of Precedence.

1. Governors within their respective states: As per the Table of Precedence in India, the Governor of a state ranks immediately after the President and the Vice-President when they are within their respective states. Thus, they hold a high rank in the precedence listing.
2. Former Presidents: Former Presidents of India are given prominence due to their past position as the head of the state. They come after the serving President and Vice-President, alongside the serving Governors.
3. Deputy Prime Minister: The Deputy Prime Minister, if appointed, has a high-ranking position and is placed after the Governors in their states and the Former Presidents.
4. Chief Justice of India (CJI): The Chief Justice is the head of the Indian judiciary system and holds a significant position. However, in the official Table of Precedence, the CJI is listed after the Deputy Prime Minister.

Based on the above explanations, the correct sequence according to rank precedence is: Governors within their respective states, Former Presidents, Deputy Prime Minister, Chief Justice of India.

Therefore, the correct answer is: 2, 3, 4, 1