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Finding the Fourth Proportional to 2,793.62, 4,188.99 and 1,149.86

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Solution

The fourth proportional to 2,793.62, 4,188.99 and 1,149.86 is: 1,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.62 : 4,188.99 = 1,149.86 : x
  2. Step 2: Convert to fraction form
    2,793.62/4,188.99 = 1,149.86/x
  3. Step 3: Cross multiply
    2,793.62x = 4,188.99 × 1,149.86
  4. Step 4: Simplify right side
    2,793.62x = 4,816,752.04
  5. Step 5: Solve for x
    x = 4,816,752.04/2,793.62
  6. Step 6: Final answer
    x = 1,724.20

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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.