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Finding the Fourth Proportional to 1,524.86, 2,104.13 and 861.71

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Solution

The fourth proportional to 1,524.86, 2,104.13 and 861.71 is: 1,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.86 : 2,104.13 = 861.71 : x
  2. Step 2: Convert to fraction form
    1,524.86/2,104.13 = 861.71/x
  3. Step 3: Cross multiply
    1,524.86x = 2,104.13 × 861.71
  4. Step 4: Simplify right side
    1,524.86x = 1,813,146.54
  5. Step 5: Solve for x
    x = 1,813,146.54/1,524.86
  6. Step 6: Final answer
    x = 1,189.06

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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.