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Finding the Fourth Proportional to 2,712.76, 3,743.34 and 1,593.52

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Solution

The fourth proportional to 2,712.76, 3,743.34 and 1,593.52 is: 2,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.76 : 3,743.34 = 1,593.52 : x
  2. Step 2: Convert to fraction form
    2,712.76/3,743.34 = 1,593.52/x
  3. Step 3: Cross multiply
    2,712.76x = 3,743.34 × 1,593.52
  4. Step 4: Simplify right side
    2,712.76x = 5,965,087.16
  5. Step 5: Solve for x
    x = 5,965,087.16/2,712.76
  6. Step 6: Final answer
    x = 2,198.90

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