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Finding the Fourth Proportional to 3,474.92, 4,795.14 and 1,982.90

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Solution

The fourth proportional to 3,474.92, 4,795.14 and 1,982.90 is: 2,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.92 : 4,795.14 = 1,982.90 : x
  2. Step 2: Convert to fraction form
    3,474.92/4,795.14 = 1,982.90/x
  3. Step 3: Cross multiply
    3,474.92x = 4,795.14 × 1,982.90
  4. Step 4: Simplify right side
    3,474.92x = 9,508,283.11
  5. Step 5: Solve for x
    x = 9,508,283.11/3,474.92
  6. Step 6: Final answer
    x = 2,736.26

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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.