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Finding the Fourth Proportional to 2,183.62, 3,273.20 and 1,143.08

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Solution

The fourth proportional to 2,183.62, 3,273.20 and 1,143.08 is: 1,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.62 : 3,273.20 = 1,143.08 : x
  2. Step 2: Convert to fraction form
    2,183.62/3,273.20 = 1,143.08/x
  3. Step 3: Cross multiply
    2,183.62x = 3,273.20 × 1,143.08
  4. Step 4: Simplify right side
    2,183.62x = 3,741,529.46
  5. Step 5: Solve for x
    x = 3,741,529.46/2,183.62
  6. Step 6: Final answer
    x = 1,713.45

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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.