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Finding the Fourth Proportional to 2,747.43, 4,117.41 and 1,512.99

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Solution

The fourth proportional to 2,747.43, 4,117.41 and 1,512.99 is: 2,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.43 : 4,117.41 = 1,512.99 : x
  2. Step 2: Convert to fraction form
    2,747.43/4,117.41 = 1,512.99/x
  3. Step 3: Cross multiply
    2,747.43x = 4,117.41 × 1,512.99
  4. Step 4: Simplify right side
    2,747.43x = 6,229,600.16
  5. Step 5: Solve for x
    x = 6,229,600.16/2,747.43
  6. Step 6: Final answer
    x = 2,267.43

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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.