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Finding the Fourth Proportional to 2,621.82, 3,932.97 and 674.04

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Solution

The fourth proportional to 2,621.82, 3,932.97 and 674.04 is: 1,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.82 : 3,932.97 = 674.04 : x
  2. Step 2: Convert to fraction form
    2,621.82/3,932.97 = 674.04/x
  3. Step 3: Cross multiply
    2,621.82x = 3,932.97 × 674.04
  4. Step 4: Simplify right side
    2,621.82x = 2,650,979.10
  5. Step 5: Solve for x
    x = 2,650,979.10/2,621.82
  6. Step 6: Final answer
    x = 1,011.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.