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Finding the Fourth Proportional to 1,677.92, 2,516.96 and 1,032.80

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Solution

The fourth proportional to 1,677.92, 2,516.96 and 1,032.80 is: 1,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.92 : 2,516.96 = 1,032.80 : x
  2. Step 2: Convert to fraction form
    1,677.92/2,516.96 = 1,032.80/x
  3. Step 3: Cross multiply
    1,677.92x = 2,516.96 × 1,032.80
  4. Step 4: Simplify right side
    1,677.92x = 2,599,516.29
  5. Step 5: Solve for x
    x = 2,599,516.29/1,677.92
  6. Step 6: Final answer
    x = 1,549.25

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