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Finding the Fourth Proportional to 2,183.77, 3,273.72 and 868.45

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Solution

The fourth proportional to 2,183.77, 3,273.72 and 868.45 is: 1,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.77 : 3,273.72 = 868.45 : x
  2. Step 2: Convert to fraction form
    2,183.77/3,273.72 = 868.45/x
  3. Step 3: Cross multiply
    2,183.77x = 3,273.72 × 868.45
  4. Step 4: Simplify right side
    2,183.77x = 2,843,062.13
  5. Step 5: Solve for x
    x = 2,843,062.13/2,183.77
  6. Step 6: Final answer
    x = 1,301.91

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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.