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Finding the Fourth Proportional to 1,524.97, 2,104.41 and 861.92

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Solution

The fourth proportional to 1,524.97, 2,104.41 and 861.92 is: 1,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.97 : 2,104.41 = 861.92 : x
  2. Step 2: Convert to fraction form
    1,524.97/2,104.41 = 861.92/x
  3. Step 3: Cross multiply
    1,524.97x = 2,104.41 × 861.92
  4. Step 4: Simplify right side
    1,524.97x = 1,813,833.07
  5. Step 5: Solve for x
    x = 1,813,833.07/1,524.97
  6. Step 6: Final answer
    x = 1,189.42

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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.