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Finding the Fourth Proportional to 1,553.76, 2,142.72 and 1,087.20

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Solution

The fourth proportional to 1,553.76, 2,142.72 and 1,087.20 is: 1,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.76 : 2,142.72 = 1,087.20 : x
  2. Step 2: Convert to fraction form
    1,553.76/2,142.72 = 1,087.20/x
  3. Step 3: Cross multiply
    1,553.76x = 2,142.72 × 1,087.20
  4. Step 4: Simplify right side
    1,553.76x = 2,329,565.18
  5. Step 5: Solve for x
    x = 2,329,565.18/1,553.76
  6. Step 6: Final answer
    x = 1,499.31

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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.