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Finding the Fourth Proportional to 2,422.62, 3,630.75 and 1,121.22

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Solution

The fourth proportional to 2,422.62, 3,630.75 and 1,121.22 is: 1,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.62 : 3,630.75 = 1,121.22 : x
  2. Step 2: Convert to fraction form
    2,422.62/3,630.75 = 1,121.22/x
  3. Step 3: Cross multiply
    2,422.62x = 3,630.75 × 1,121.22
  4. Step 4: Simplify right side
    2,422.62x = 4,070,869.52
  5. Step 5: Solve for x
    x = 4,070,869.52/2,422.62
  6. Step 6: Final answer
    x = 1,680.36

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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.