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Finding the Fourth Proportional to 2,249.32, 3,371.67 and 862.28

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Solution

The fourth proportional to 2,249.32, 3,371.67 and 862.28 is: 1,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.32 : 3,371.67 = 862.28 : x
  2. Step 2: Convert to fraction form
    2,249.32/3,371.67 = 862.28/x
  3. Step 3: Cross multiply
    2,249.32x = 3,371.67 × 862.28
  4. Step 4: Simplify right side
    2,249.32x = 2,907,323.61
  5. Step 5: Solve for x
    x = 2,907,323.61/2,249.32
  6. Step 6: Final answer
    x = 1,292.53

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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.