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Finding the Fourth Proportional to 2,187.14, 3,279.49 and 725.50

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Solution

The fourth proportional to 2,187.14, 3,279.49 and 725.50 is: 1,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.14 : 3,279.49 = 725.50 : x
  2. Step 2: Convert to fraction form
    2,187.14/3,279.49 = 725.50/x
  3. Step 3: Cross multiply
    2,187.14x = 3,279.49 × 725.50
  4. Step 4: Simplify right side
    2,187.14x = 2,379,270.00
  5. Step 5: Solve for x
    x = 2,379,270.00/2,187.14
  6. Step 6: Final answer
    x = 1,087.85

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Why These Related Problems?

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