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Finding the Fourth Proportional to 2,497.68, 3,747.78 and 1,200.24

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Solution

The fourth proportional to 2,497.68, 3,747.78 and 1,200.24 is: 1,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.68 : 3,747.78 = 1,200.24 : x
  2. Step 2: Convert to fraction form
    2,497.68/3,747.78 = 1,200.24/x
  3. Step 3: Cross multiply
    2,497.68x = 3,747.78 × 1,200.24
  4. Step 4: Simplify right side
    2,497.68x = 4,498,235.47
  5. Step 5: Solve for x
    x = 4,498,235.47/2,497.68
  6. Step 6: Final answer
    x = 1,800.97

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1.5x scale

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.