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Finding the Fourth Proportional to 2,286.75, 3,154.50 and 1,539.44

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Solution

The fourth proportional to 2,286.75, 3,154.50 and 1,539.44 is: 2,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.75 : 3,154.50 = 1,539.44 : x
  2. Step 2: Convert to fraction form
    2,286.75/3,154.50 = 1,539.44/x
  3. Step 3: Cross multiply
    2,286.75x = 3,154.50 × 1,539.44
  4. Step 4: Simplify right side
    2,286.75x = 4,856,163.48
  5. Step 5: Solve for x
    x = 4,856,163.48/2,286.75
  6. Step 6: Final answer
    x = 2,123.61

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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.