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Finding the Fourth Proportional to 3,183.48, 4,775.22 and 1,949.88

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Solution

The fourth proportional to 3,183.48, 4,775.22 and 1,949.88 is: 2,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.48 : 4,775.22 = 1,949.88 : x
  2. Step 2: Convert to fraction form
    3,183.48/4,775.22 = 1,949.88/x
  3. Step 3: Cross multiply
    3,183.48x = 4,775.22 × 1,949.88
  4. Step 4: Simplify right side
    3,183.48x = 9,311,105.97
  5. Step 5: Solve for x
    x = 9,311,105.97/3,183.48
  6. Step 6: Final answer
    x = 2,924.82

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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.