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Finding the Fourth Proportional to 2,576.41, 3,863.70 and 932.53

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Solution

The fourth proportional to 2,576.41, 3,863.70 and 932.53 is: 1,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.41 : 3,863.70 = 932.53 : x
  2. Step 2: Convert to fraction form
    2,576.41/3,863.70 = 932.53/x
  3. Step 3: Cross multiply
    2,576.41x = 3,863.70 × 932.53
  4. Step 4: Simplify right side
    2,576.41x = 3,603,016.16
  5. Step 5: Solve for x
    x = 3,603,016.16/2,576.41
  6. Step 6: Final answer
    x = 1,398.46

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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.