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Finding the Fourth Proportional to 2,422.74, 3,634.12 and 862.80

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Solution

The fourth proportional to 2,422.74, 3,634.12 and 862.80 is: 1,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.74 : 3,634.12 = 862.80 : x
  2. Step 2: Convert to fraction form
    2,422.74/3,634.12 = 862.80/x
  3. Step 3: Cross multiply
    2,422.74x = 3,634.12 × 862.80
  4. Step 4: Simplify right side
    2,422.74x = 3,135,512.77
  5. Step 5: Solve for x
    x = 3,135,512.77/2,422.74
  6. Step 6: Final answer
    x = 1,294.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.