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Finding the Fourth Proportional to 1,524.29, 2,103.50 and 861.13

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Solution

The fourth proportional to 1,524.29, 2,103.50 and 861.13 is: 1,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.29 : 2,103.50 = 861.13 : x
  2. Step 2: Convert to fraction form
    1,524.29/2,103.50 = 861.13/x
  3. Step 3: Cross multiply
    1,524.29x = 2,103.50 × 861.13
  4. Step 4: Simplify right side
    1,524.29x = 1,811,391.74
  5. Step 5: Solve for x
    x = 1,811,391.74/1,524.29
  6. Step 6: Final answer
    x = 1,188.36

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