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: [196.669, -36.083, 152.375, -91.018, -29.088, 134.933, 66.316, 231.48, 92.271, 52.699]
Example Output: [ 0.255 -0.047  0.198 -0.118 -0.038  0.175  0.086  0.3    0.12   0.068]

Example Input: [-89.93, -87.846, -80.394, 116.516, 61.296, 82.596]
Example Output: [-40.183 -39.252 -35.922  52.063  27.389  36.906]

Example Input: [-15.858, 230.357, 174.017, -67.348, 102.622, 244.125, 174.807]
Example Output:
[-0.019  0.273  0.206 -0.08   0.122  0.29   0.207]