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Finding the Fourth Proportional to 2,734.92, 3,773.97 and 1,540.08

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Solution

The fourth proportional to 2,734.92, 3,773.97 and 1,540.08 is: 2,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.92 : 3,773.97 = 1,540.08 : x
  2. Step 2: Convert to fraction form
    2,734.92/3,773.97 = 1,540.08/x
  3. Step 3: Cross multiply
    2,734.92x = 3,773.97 × 1,540.08
  4. Step 4: Simplify right side
    2,734.92x = 5,812,215.72
  5. Step 5: Solve for x
    x = 5,812,215.72/2,734.92
  6. Step 6: Final answer
    x = 2,125.19

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Why These Related Problems?

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