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Finding the Fourth Proportional to 2,149.52, 3,224.85 and 744.23

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Solution

The fourth proportional to 2,149.52, 3,224.85 and 744.23 is: 1,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.52 : 3,224.85 = 744.23 : x
  2. Step 2: Convert to fraction form
    2,149.52/3,224.85 = 744.23/x
  3. Step 3: Cross multiply
    2,149.52x = 3,224.85 × 744.23
  4. Step 4: Simplify right side
    2,149.52x = 2,400,035.39
  5. Step 5: Solve for x
    x = 2,400,035.39/2,149.52
  6. Step 6: Final answer
    x = 1,116.54

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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.