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Finding the Fourth Proportional to 2,744.60, 4,113.30 and 1,974.20

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Solution

The fourth proportional to 2,744.60, 4,113.30 and 1,974.20 is: 2,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.60 : 4,113.30 = 1,974.20 : x
  2. Step 2: Convert to fraction form
    2,744.60/4,113.30 = 1,974.20/x
  3. Step 3: Cross multiply
    2,744.60x = 4,113.30 × 1,974.20
  4. Step 4: Simplify right side
    2,744.60x = 8,120,476.86
  5. Step 5: Solve for x
    x = 8,120,476.86/2,744.60
  6. Step 6: Final answer
    x = 2,958.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.