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Finding the Fourth Proportional to 1,641.52, 2,265.33 and 1,287.87

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Solution

The fourth proportional to 1,641.52, 2,265.33 and 1,287.87 is: 1,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.52 : 2,265.33 = 1,287.87 : x
  2. Step 2: Convert to fraction form
    1,641.52/2,265.33 = 1,287.87/x
  3. Step 3: Cross multiply
    1,641.52x = 2,265.33 × 1,287.87
  4. Step 4: Simplify right side
    1,641.52x = 2,917,450.55
  5. Step 5: Solve for x
    x = 2,917,450.55/1,641.52
  6. Step 6: Final answer
    x = 1,777.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.