Explanation:

Article 78 of the Indian Constitution outlines the duties of the Prime Minister with respect to communications between the President and the Council of Ministers. Let's look at the statements one by one:

To communicate to the President all decisions of the Council of Ministers relating to the administration of the affairs of the union and proposals for legislation - This is included in Article 78.

To take prior Presidential sanction for the budget before submitting it in the Parliament - This is not specified in Article 78.

To furnish the information called for by the President regarding administration of affairs of the Union - This is also included in Article 78.

If the President so requires, to submit for consideration of the Council of Ministers a matter on which a minister has taken a decision without submitting the same for consideration by the council beforehand - This is also included in Article 78.

So, statements 1, 3, and 4 are included in Article 78 of the Indian Constitution, as the duties of the Prime Minister.