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Finding the Fourth Proportional to 1,539, 2,123.82 and 987.96

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Solution

The fourth proportional to 1,539, 2,123.82 and 987.96 is: 1,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539 : 2,123.82 = 987.96 : x
  2. Step 2: Convert to fraction form
    1,539/2,123.82 = 987.96/x
  3. Step 3: Cross multiply
    1,539x = 2,123.82 × 987.96
  4. Step 4: Simplify right side
    1,539x = 2,098,249.21
  5. Step 5: Solve for x
    x = 2,098,249.21/1,539
  6. Step 6: Final answer
    x = 1,363.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.