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Finding the Fourth Proportional to 2,400.62, 3,601.06 and 757.29

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Solution

The fourth proportional to 2,400.62, 3,601.06 and 757.29 is: 1,135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.62 : 3,601.06 = 757.29 : x
  2. Step 2: Convert to fraction form
    2,400.62/3,601.06 = 757.29/x
  3. Step 3: Cross multiply
    2,400.62x = 3,601.06 × 757.29
  4. Step 4: Simplify right side
    2,400.62x = 2,727,046.73
  5. Step 5: Solve for x
    x = 2,727,046.73/2,400.62
  6. Step 6: Final answer
    x = 1,135.98

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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.