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Finding the Fourth Proportional to 2,422.92, 3,343.58 and 1,414.82

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Solution

The fourth proportional to 2,422.92, 3,343.58 and 1,414.82 is: 1,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.92 : 3,343.58 = 1,414.82 : x
  2. Step 2: Convert to fraction form
    2,422.92/3,343.58 = 1,414.82/x
  3. Step 3: Cross multiply
    2,422.92x = 3,343.58 × 1,414.82
  4. Step 4: Simplify right side
    2,422.92x = 4,730,540.06
  5. Step 5: Solve for x
    x = 4,730,540.06/2,422.92
  6. Step 6: Final answer
    x = 1,952.41

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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.