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Finding the Fourth Proportional to 2,224.90, 3,337.90 and 838.38

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Solution

The fourth proportional to 2,224.90, 3,337.90 and 838.38 is: 1,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.90 : 3,337.90 = 838.38 : x
  2. Step 2: Convert to fraction form
    2,224.90/3,337.90 = 838.38/x
  3. Step 3: Cross multiply
    2,224.90x = 3,337.90 × 838.38
  4. Step 4: Simplify right side
    2,224.90x = 2,798,428.60
  5. Step 5: Solve for x
    x = 2,798,428.60/2,224.90
  6. Step 6: Final answer
    x = 1,257.78

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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.