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Finding the Fourth Proportional to 1,562.91, 2,354.80 and 1,414.85

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Solution

The fourth proportional to 1,562.91, 2,354.80 and 1,414.85 is: 2,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.91 : 2,354.80 = 1,414.85 : x
  2. Step 2: Convert to fraction form
    1,562.91/2,354.80 = 1,414.85/x
  3. Step 3: Cross multiply
    1,562.91x = 2,354.80 × 1,414.85
  4. Step 4: Simplify right side
    1,562.91x = 3,331,681.71
  5. Step 5: Solve for x
    x = 3,331,681.71/1,562.91
  6. Step 6: Final answer
    x = 2,131.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.