In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

Example Input: [11.762, 150.905, 5.594, -4.717, 62.877, 187.591, 132.722]
Example Output: [ 0.022  0.276  0.01  -0.009  0.115  0.343  0.243]

Example Input: [-78.083, 47.943, -80.073]
Example Output: [ 0.708 -0.435  0.727]

Example Input: [249.071, -91.776, 179.838, 227.139, 57.96, 171.667, -74.338, 75.385, 29.061, -57.287]
Example Output:
[ 0.325 -0.12   0.235  0.296  0.076  0.224 -0.097  0.098  0.038 -0.075]