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Finding the Fourth Proportional to 2,498.46, 3,747.86 and 649.64

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Solution

The fourth proportional to 2,498.46, 3,747.86 and 649.64 is: 974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.46 : 3,747.86 = 649.64 : x
  2. Step 2: Convert to fraction form
    2,498.46/3,747.86 = 649.64/x
  3. Step 3: Cross multiply
    2,498.46x = 3,747.86 × 649.64
  4. Step 4: Simplify right side
    2,498.46x = 2,434,737.78
  5. Step 5: Solve for x
    x = 2,434,737.78/2,498.46
  6. Step 6: Final answer
    x = 974.50

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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.