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Finding the Fourth Proportional to 2,732.42, 4,092.24 and 2,511.90

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Solution

The fourth proportional to 2,732.42, 4,092.24 and 2,511.90 is: 3,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.42 : 4,092.24 = 2,511.90 : x
  2. Step 2: Convert to fraction form
    2,732.42/4,092.24 = 2,511.90/x
  3. Step 3: Cross multiply
    2,732.42x = 4,092.24 × 2,511.90
  4. Step 4: Simplify right side
    2,732.42x = 10,279,297.66
  5. Step 5: Solve for x
    x = 10,279,297.66/2,732.42
  6. Step 6: Final answer
    x = 3,761.98

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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.