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Finding the Fourth Proportional to 2,766.31, 4,149.42 and 917.44

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Solution

The fourth proportional to 2,766.31, 4,149.42 and 917.44 is: 1,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.31 : 4,149.42 = 917.44 : x
  2. Step 2: Convert to fraction form
    2,766.31/4,149.42 = 917.44/x
  3. Step 3: Cross multiply
    2,766.31x = 4,149.42 × 917.44
  4. Step 4: Simplify right side
    2,766.31x = 3,806,843.88
  5. Step 5: Solve for x
    x = 3,806,843.88/2,766.31
  6. Step 6: Final answer
    x = 1,376.15

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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.