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Finding the Fourth Proportional to 2,422.73, 3,633.61 and 667.28

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Solution

The fourth proportional to 2,422.73, 3,633.61 and 667.28 is: 1,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.73 : 3,633.61 = 667.28 : x
  2. Step 2: Convert to fraction form
    2,422.73/3,633.61 = 667.28/x
  3. Step 3: Cross multiply
    2,422.73x = 3,633.61 × 667.28
  4. Step 4: Simplify right side
    2,422.73x = 2,424,635.28
  5. Step 5: Solve for x
    x = 2,424,635.28/2,422.73
  6. Step 6: Final answer
    x = 1,000.79

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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.