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Finding the Fourth Proportional to 2,498.20, 3,747.30 and 766.60

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Solution

The fourth proportional to 2,498.20, 3,747.30 and 766.60 is: 1,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.20 : 3,747.30 = 766.60 : x
  2. Step 2: Convert to fraction form
    2,498.20/3,747.30 = 766.60/x
  3. Step 3: Cross multiply
    2,498.20x = 3,747.30 × 766.60
  4. Step 4: Simplify right side
    2,498.20x = 2,872,680.18
  5. Step 5: Solve for x
    x = 2,872,680.18/2,498.20
  6. Step 6: Final answer
    x = 1,149.90

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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.