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Finding the Fourth Proportional to 4,115.76, 6,174.42 and 1,342.20

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Solution

The fourth proportional to 4,115.76, 6,174.42 and 1,342.20 is: 2,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.76 : 6,174.42 = 1,342.20 : x
  2. Step 2: Convert to fraction form
    4,115.76/6,174.42 = 1,342.20/x
  3. Step 3: Cross multiply
    4,115.76x = 6,174.42 × 1,342.20
  4. Step 4: Simplify right side
    4,115.76x = 8,287,306.52
  5. Step 5: Solve for x
    x = 8,287,306.52/4,115.76
  6. Step 6: Final answer
    x = 2,013.55

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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.