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Finding the Fourth Proportional to 2,107.73, 3,161.12 and 1,183.70

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Solution

The fourth proportional to 2,107.73, 3,161.12 and 1,183.70 is: 1,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.73 : 3,161.12 = 1,183.70 : x
  2. Step 2: Convert to fraction form
    2,107.73/3,161.12 = 1,183.70/x
  3. Step 3: Cross multiply
    2,107.73x = 3,161.12 × 1,183.70
  4. Step 4: Simplify right side
    2,107.73x = 3,741,796.02
  5. Step 5: Solve for x
    x = 3,741,796.02/2,107.73
  6. Step 6: Final answer
    x = 1,775.28

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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.