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Finding the Fourth Proportional to 2,843.75, 4,264.14 and 1,282.41

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Solution

The fourth proportional to 2,843.75, 4,264.14 and 1,282.41 is: 1,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.75 : 4,264.14 = 1,282.41 : x
  2. Step 2: Convert to fraction form
    2,843.75/4,264.14 = 1,282.41/x
  3. Step 3: Cross multiply
    2,843.75x = 4,264.14 × 1,282.41
  4. Step 4: Simplify right side
    2,843.75x = 5,468,375.78
  5. Step 5: Solve for x
    x = 5,468,375.78/2,843.75
  6. Step 6: Final answer
    x = 1,922.95

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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.