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Finding the Fourth Proportional to 2,187.12, 3,279.98 and 725.96

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Solution

The fourth proportional to 2,187.12, 3,279.98 and 725.96 is: 1,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.12 : 3,279.98 = 725.96 : x
  2. Step 2: Convert to fraction form
    2,187.12/3,279.98 = 725.96/x
  3. Step 3: Cross multiply
    2,187.12x = 3,279.98 × 725.96
  4. Step 4: Simplify right side
    2,187.12x = 2,381,134.28
  5. Step 5: Solve for x
    x = 2,381,134.28/2,187.12
  6. Step 6: Final answer
    x = 1,088.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.