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Finding the Fourth Proportional to 1,553.66, 2,331.24 and 687.86

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Solution

The fourth proportional to 1,553.66, 2,331.24 and 687.86 is: 1,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.66 : 2,331.24 = 687.86 : x
  2. Step 2: Convert to fraction form
    1,553.66/2,331.24 = 687.86/x
  3. Step 3: Cross multiply
    1,553.66x = 2,331.24 × 687.86
  4. Step 4: Simplify right side
    1,553.66x = 1,603,566.75
  5. Step 5: Solve for x
    x = 1,603,566.75/1,553.66
  6. Step 6: Final answer
    x = 1,032.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.