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Finding the Fourth Proportional to 2,217.97, 3,326.96 and 902.44

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Solution

The fourth proportional to 2,217.97, 3,326.96 and 902.44 is: 1,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.97 : 3,326.96 = 902.44 : x
  2. Step 2: Convert to fraction form
    2,217.97/3,326.96 = 902.44/x
  3. Step 3: Cross multiply
    2,217.97x = 3,326.96 × 902.44
  4. Step 4: Simplify right side
    2,217.97x = 3,002,371.21
  5. Step 5: Solve for x
    x = 3,002,371.21/2,217.97
  6. Step 6: Final answer
    x = 1,353.66

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Double scale
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Similar ratio
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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.