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Finding the Fourth Proportional to 2,576.34, 3,864.79 and 932.52

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Solution

The fourth proportional to 2,576.34, 3,864.79 and 932.52 is: 1,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.34 : 3,864.79 = 932.52 : x
  2. Step 2: Convert to fraction form
    2,576.34/3,864.79 = 932.52/x
  3. Step 3: Cross multiply
    2,576.34x = 3,864.79 × 932.52
  4. Step 4: Simplify right side
    2,576.34x = 3,603,996.14
  5. Step 5: Solve for x
    x = 3,603,996.14/2,576.34
  6. Step 6: Final answer
    x = 1,398.88

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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.