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Finding the Fourth Proportional to 1,524.52, 2,104.08 and 861.74

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Solution

The fourth proportional to 1,524.52, 2,104.08 and 861.74 is: 1,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.52 : 2,104.08 = 861.74 : x
  2. Step 2: Convert to fraction form
    1,524.52/2,104.08 = 861.74/x
  3. Step 3: Cross multiply
    1,524.52x = 2,104.08 × 861.74
  4. Step 4: Simplify right side
    1,524.52x = 1,813,164.04
  5. Step 5: Solve for x
    x = 1,813,164.04/1,524.52
  6. Step 6: Final answer
    x = 1,189.33

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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.