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Finding the Fourth Proportional to 3,174.62, 4,761.02 and 1,226.37

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Solution

The fourth proportional to 3,174.62, 4,761.02 and 1,226.37 is: 1,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.62 : 4,761.02 = 1,226.37 : x
  2. Step 2: Convert to fraction form
    3,174.62/4,761.02 = 1,226.37/x
  3. Step 3: Cross multiply
    3,174.62x = 4,761.02 × 1,226.37
  4. Step 4: Simplify right side
    3,174.62x = 5,838,765.97
  5. Step 5: Solve for x
    x = 5,838,765.97/3,174.62
  6. Step 6: Final answer
    x = 1,839.20

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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.