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Finding the Fourth Proportional to 2,744.20, 4,114.48 and 1,512.20

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Solution

The fourth proportional to 2,744.20, 4,114.48 and 1,512.20 is: 2,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.20 : 4,114.48 = 1,512.20 : x
  2. Step 2: Convert to fraction form
    2,744.20/4,114.48 = 1,512.20/x
  3. Step 3: Cross multiply
    2,744.20x = 4,114.48 × 1,512.20
  4. Step 4: Simplify right side
    2,744.20x = 6,221,916.66
  5. Step 5: Solve for x
    x = 6,221,916.66/2,744.20
  6. Step 6: Final answer
    x = 2,267.30

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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.