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Finding the Fourth Proportional to 2,234.81, 3,349.17 and 772.62

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Solution

The fourth proportional to 2,234.81, 3,349.17 and 772.62 is: 1,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.81 : 3,349.17 = 772.62 : x
  2. Step 2: Convert to fraction form
    2,234.81/3,349.17 = 772.62/x
  3. Step 3: Cross multiply
    2,234.81x = 3,349.17 × 772.62
  4. Step 4: Simplify right side
    2,234.81x = 2,587,635.73
  5. Step 5: Solve for x
    x = 2,587,635.73/2,234.81
  6. Step 6: Final answer
    x = 1,157.88

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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.