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Finding the Fourth Proportional to 3,182.56, 4,391.92 and 1,766.21

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Solution

The fourth proportional to 3,182.56, 4,391.92 and 1,766.21 is: 2,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.56 : 4,391.92 = 1,766.21 : x
  2. Step 2: Convert to fraction form
    3,182.56/4,391.92 = 1,766.21/x
  3. Step 3: Cross multiply
    3,182.56x = 4,391.92 × 1,766.21
  4. Step 4: Simplify right side
    3,182.56x = 7,757,022.23
  5. Step 5: Solve for x
    x = 7,757,022.23/3,182.56
  6. Step 6: Final answer
    x = 2,437.36

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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.