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Finding the Fourth Proportional to 2,463.11, 3,694.67 and 731.73

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Solution

The fourth proportional to 2,463.11, 3,694.67 and 731.73 is: 1,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.11 : 3,694.67 = 731.73 : x
  2. Step 2: Convert to fraction form
    2,463.11/3,694.67 = 731.73/x
  3. Step 3: Cross multiply
    2,463.11x = 3,694.67 × 731.73
  4. Step 4: Simplify right side
    2,463.11x = 2,703,497.22
  5. Step 5: Solve for x
    x = 2,703,497.22/2,463.11
  6. Step 6: Final answer
    x = 1,097.60

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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.