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Finding the Fourth Proportional to 3,297.24, 4,945.05 and 1,105.92

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Solution

The fourth proportional to 3,297.24, 4,945.05 and 1,105.92 is: 1,658.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.24 : 4,945.05 = 1,105.92 : x
  2. Step 2: Convert to fraction form
    3,297.24/4,945.05 = 1,105.92/x
  3. Step 3: Cross multiply
    3,297.24x = 4,945.05 × 1,105.92
  4. Step 4: Simplify right side
    3,297.24x = 5,468,829.70
  5. Step 5: Solve for x
    x = 5,468,829.70/3,297.24
  6. Step 6: Final answer
    x = 1,658.61

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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.