The sum of four consecutive integers is 2,174. what is the value of the smallest integer

Represent the sum of these consecutive integers as follows:

x + x+1 + x+2 + x+3 = 2174.

Then 4x + 6 = 2174. Solving for x, x = 542.

Then the four integers are {542, 543, 544, 545}.

The smallest is 542 (answer)