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Finding the Fourth Proportional to 3,107.54, 4,651.86 and 2,231.12

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Solution

The fourth proportional to 3,107.54, 4,651.86 and 2,231.12 is: 3,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.54 : 4,651.86 = 2,231.12 : x
  2. Step 2: Convert to fraction form
    3,107.54/4,651.86 = 2,231.12/x
  3. Step 3: Cross multiply
    3,107.54x = 4,651.86 × 2,231.12
  4. Step 4: Simplify right side
    3,107.54x = 10,378,857.88
  5. Step 5: Solve for x
    x = 10,378,857.88/3,107.54
  6. Step 6: Final answer
    x = 3,339.90

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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.