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Finding the Fourth Proportional to 3,180.50, 4,765.19 and 2,207.22

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Solution

The fourth proportional to 3,180.50, 4,765.19 and 2,207.22 is: 3,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.50 : 4,765.19 = 2,207.22 : x
  2. Step 2: Convert to fraction form
    3,180.50/4,765.19 = 2,207.22/x
  3. Step 3: Cross multiply
    3,180.50x = 4,765.19 × 2,207.22
  4. Step 4: Simplify right side
    3,180.50x = 10,517,822.67
  5. Step 5: Solve for x
    x = 10,517,822.67/3,180.50
  6. Step 6: Final answer
    x = 3,306.97

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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.