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Finding the Fourth Proportional to 1,833.82, 2,747.64 and 1,183.18

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Solution

The fourth proportional to 1,833.82, 2,747.64 and 1,183.18 is: 1,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.82 : 2,747.64 = 1,183.18 : x
  2. Step 2: Convert to fraction form
    1,833.82/2,747.64 = 1,183.18/x
  3. Step 3: Cross multiply
    1,833.82x = 2,747.64 × 1,183.18
  4. Step 4: Simplify right side
    1,833.82x = 3,250,952.70
  5. Step 5: Solve for x
    x = 3,250,952.70/1,833.82
  6. Step 6: Final answer
    x = 1,772.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.