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Finding the Fourth Proportional to 2,745.69, 4,113.72 and 2,286.42

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Solution

The fourth proportional to 2,745.69, 4,113.72 and 2,286.42 is: 3,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.69 : 4,113.72 = 2,286.42 : x
  2. Step 2: Convert to fraction form
    2,745.69/4,113.72 = 2,286.42/x
  3. Step 3: Cross multiply
    2,745.69x = 4,113.72 × 2,286.42
  4. Step 4: Simplify right side
    2,745.69x = 9,405,691.68
  5. Step 5: Solve for x
    x = 9,405,691.68/2,745.69
  6. Step 6: Final answer
    x = 3,425.62

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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.