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Finding the Fourth Proportional to 2,149.71, 3,224.90 and 917.13

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Solution

The fourth proportional to 2,149.71, 3,224.90 and 917.13 is: 1,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.71 : 3,224.90 = 917.13 : x
  2. Step 2: Convert to fraction form
    2,149.71/3,224.90 = 917.13/x
  3. Step 3: Cross multiply
    2,149.71x = 3,224.90 × 917.13
  4. Step 4: Simplify right side
    2,149.71x = 2,957,652.54
  5. Step 5: Solve for x
    x = 2,957,652.54/2,149.71
  6. Step 6: Final answer
    x = 1,375.84

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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.