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Finding the Fourth Proportional to 2,151.52, 3,227.70 and 764.96

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Solution

The fourth proportional to 2,151.52, 3,227.70 and 764.96 is: 1,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.52 : 3,227.70 = 764.96 : x
  2. Step 2: Convert to fraction form
    2,151.52/3,227.70 = 764.96/x
  3. Step 3: Cross multiply
    2,151.52x = 3,227.70 × 764.96
  4. Step 4: Simplify right side
    2,151.52x = 2,469,061.39
  5. Step 5: Solve for x
    x = 2,469,061.39/2,151.52
  6. Step 6: Final answer
    x = 1,147.59

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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.