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Finding the Fourth Proportional to 2,292.73, 3,437.78 and 732.47

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Solution

The fourth proportional to 2,292.73, 3,437.78 and 732.47 is: 1,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.73 : 3,437.78 = 732.47 : x
  2. Step 2: Convert to fraction form
    2,292.73/3,437.78 = 732.47/x
  3. Step 3: Cross multiply
    2,292.73x = 3,437.78 × 732.47
  4. Step 4: Simplify right side
    2,292.73x = 2,518,062.62
  5. Step 5: Solve for x
    x = 2,518,062.62/2,292.73
  6. Step 6: Final answer
    x = 1,098.28

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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.