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Finding the Fourth Proportional to 2,632.30, 3,947.28 and 966.43

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Solution

The fourth proportional to 2,632.30, 3,947.28 and 966.43 is: 1,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.30 : 3,947.28 = 966.43 : x
  2. Step 2: Convert to fraction form
    2,632.30/3,947.28 = 966.43/x
  3. Step 3: Cross multiply
    2,632.30x = 3,947.28 × 966.43
  4. Step 4: Simplify right side
    2,632.30x = 3,814,776.56
  5. Step 5: Solve for x
    x = 3,814,776.56/2,632.30
  6. Step 6: Final answer
    x = 1,449.22

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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.