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Finding the Fourth Proportional to 2,217.75, 3,324.48 and 830.73

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Solution

The fourth proportional to 2,217.75, 3,324.48 and 830.73 is: 1,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.75 : 3,324.48 = 830.73 : x
  2. Step 2: Convert to fraction form
    2,217.75/3,324.48 = 830.73/x
  3. Step 3: Cross multiply
    2,217.75x = 3,324.48 × 830.73
  4. Step 4: Simplify right side
    2,217.75x = 2,761,745.27
  5. Step 5: Solve for x
    x = 2,761,745.27/2,217.75
  6. Step 6: Final answer
    x = 1,245.29

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Double scale
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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.