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Finding the Fourth Proportional to 1,918.92, 2,877.68 and 686.00

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Solution

The fourth proportional to 1,918.92, 2,877.68 and 686.00 is: 1,028.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.92 : 2,877.68 = 686.00 : x
  2. Step 2: Convert to fraction form
    1,918.92/2,877.68 = 686.00/x
  3. Step 3: Cross multiply
    1,918.92x = 2,877.68 × 686.00
  4. Step 4: Simplify right side
    1,918.92x = 1,974,070.66
  5. Step 5: Solve for x
    x = 1,974,070.66/1,918.92
  6. Step 6: Final answer
    x = 1,028.74

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