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Finding the Fourth Proportional to 2,759.53, 3,808.97 and 1,581.38

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Solution

The fourth proportional to 2,759.53, 3,808.97 and 1,581.38 is: 2,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.53 : 3,808.97 = 1,581.38 : x
  2. Step 2: Convert to fraction form
    2,759.53/3,808.97 = 1,581.38/x
  3. Step 3: Cross multiply
    2,759.53x = 3,808.97 × 1,581.38
  4. Step 4: Simplify right side
    2,759.53x = 6,023,436.52
  5. Step 5: Solve for x
    x = 6,023,436.52/2,759.53
  6. Step 6: Final answer
    x = 2,182.78

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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.