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Finding the Fourth Proportional to 2,422.47, 3,633.89 and 691.23

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Solution

The fourth proportional to 2,422.47, 3,633.89 and 691.23 is: 1,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.47 : 3,633.89 = 691.23 : x
  2. Step 2: Convert to fraction form
    2,422.47/3,633.89 = 691.23/x
  3. Step 3: Cross multiply
    2,422.47x = 3,633.89 × 691.23
  4. Step 4: Simplify right side
    2,422.47x = 2,511,850.33
  5. Step 5: Solve for x
    x = 2,511,850.33/2,422.47
  6. Step 6: Final answer
    x = 1,036.90

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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.