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Finding the Fourth Proportional to 3,343.62, 5,013.24 and 1,697.88

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Solution

The fourth proportional to 3,343.62, 5,013.24 and 1,697.88 is: 2,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.62 : 5,013.24 = 1,697.88 : x
  2. Step 2: Convert to fraction form
    3,343.62/5,013.24 = 1,697.88/x
  3. Step 3: Cross multiply
    3,343.62x = 5,013.24 × 1,697.88
  4. Step 4: Simplify right side
    3,343.62x = 8,511,879.93
  5. Step 5: Solve for x
    x = 8,511,879.93/3,343.62
  6. Step 6: Final answer
    x = 2,545.71

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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.