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Finding the Fourth Proportional to 3,217.70, 4,441.20 and 2,023.40

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Solution

The fourth proportional to 3,217.70, 4,441.20 and 2,023.40 is: 2,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.70 : 4,441.20 = 2,023.40 : x
  2. Step 2: Convert to fraction form
    3,217.70/4,441.20 = 2,023.40/x
  3. Step 3: Cross multiply
    3,217.70x = 4,441.20 × 2,023.40
  4. Step 4: Simplify right side
    3,217.70x = 8,986,324.08
  5. Step 5: Solve for x
    x = 8,986,324.08/3,217.70
  6. Step 6: Final answer
    x = 2,792.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.