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Finding the Fourth Proportional to 3,006.92, 4,149.87 and 1,747.88

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Solution

The fourth proportional to 3,006.92, 4,149.87 and 1,747.88 is: 2,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.92 : 4,149.87 = 1,747.88 : x
  2. Step 2: Convert to fraction form
    3,006.92/4,149.87 = 1,747.88/x
  3. Step 3: Cross multiply
    3,006.92x = 4,149.87 × 1,747.88
  4. Step 4: Simplify right side
    3,006.92x = 7,253,463.03
  5. Step 5: Solve for x
    x = 7,253,463.03/3,006.92
  6. Step 6: Final answer
    x = 2,412.25

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1.5x scale

Why These Related Problems?

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