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Finding the Fourth Proportional to 2,766.92, 4,149.54 and 792.41

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Solution

The fourth proportional to 2,766.92, 4,149.54 and 792.41 is: 1,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.92 : 4,149.54 = 792.41 : x
  2. Step 2: Convert to fraction form
    2,766.92/4,149.54 = 792.41/x
  3. Step 3: Cross multiply
    2,766.92x = 4,149.54 × 792.41
  4. Step 4: Simplify right side
    2,766.92x = 3,288,116.24
  5. Step 5: Solve for x
    x = 3,288,116.24/2,766.92
  6. Step 6: Final answer
    x = 1,188.37

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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.