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Finding the Fourth Proportional to 2,224.48, 3,337.20 and 838.24

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Solution

The fourth proportional to 2,224.48, 3,337.20 and 838.24 is: 1,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.48 : 3,337.20 = 838.24 : x
  2. Step 2: Convert to fraction form
    2,224.48/3,337.20 = 838.24/x
  3. Step 3: Cross multiply
    2,224.48x = 3,337.20 × 838.24
  4. Step 4: Simplify right side
    2,224.48x = 2,797,374.53
  5. Step 5: Solve for x
    x = 2,797,374.53/2,224.48
  6. Step 6: Final answer
    x = 1,257.54

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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.