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Finding the Fourth Proportional to 2,576.24, 3,864.36 and 932.74

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Solution

The fourth proportional to 2,576.24, 3,864.36 and 932.74 is: 1,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.24 : 3,864.36 = 932.74 : x
  2. Step 2: Convert to fraction form
    2,576.24/3,864.36 = 932.74/x
  3. Step 3: Cross multiply
    2,576.24x = 3,864.36 × 932.74
  4. Step 4: Simplify right side
    2,576.24x = 3,604,443.15
  5. Step 5: Solve for x
    x = 3,604,443.15/2,576.24
  6. Step 6: Final answer
    x = 1,399.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.