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Finding the Fourth Proportional to 3,074.82, 4,243.17 and 1,748.49

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Solution

The fourth proportional to 3,074.82, 4,243.17 and 1,748.49 is: 2,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.82 : 4,243.17 = 1,748.49 : x
  2. Step 2: Convert to fraction form
    3,074.82/4,243.17 = 1,748.49/x
  3. Step 3: Cross multiply
    3,074.82x = 4,243.17 × 1,748.49
  4. Step 4: Simplify right side
    3,074.82x = 7,419,140.31
  5. Step 5: Solve for x
    x = 7,419,140.31/3,074.82
  6. Step 6: Final answer
    x = 2,412.87

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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.