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Finding the Fourth Proportional to 2,524, 3,782.49 and 962.38

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Solution

The fourth proportional to 2,524, 3,782.49 and 962.38 is: 1,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524 : 3,782.49 = 962.38 : x
  2. Step 2: Convert to fraction form
    2,524/3,782.49 = 962.38/x
  3. Step 3: Cross multiply
    2,524x = 3,782.49 × 962.38
  4. Step 4: Simplify right side
    2,524x = 3,640,192.73
  5. Step 5: Solve for x
    x = 3,640,192.73/2,524
  6. Step 6: Final answer
    x = 1,442.23

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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.