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Finding the Fourth Proportional to 3,183.56, 4,393.19 and 1,767.30

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Solution

The fourth proportional to 3,183.56, 4,393.19 and 1,767.30 is: 2,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.56 : 4,393.19 = 1,767.30 : x
  2. Step 2: Convert to fraction form
    3,183.56/4,393.19 = 1,767.30/x
  3. Step 3: Cross multiply
    3,183.56x = 4,393.19 × 1,767.30
  4. Step 4: Simplify right side
    3,183.56x = 7,764,105.58
  5. Step 5: Solve for x
    x = 7,764,105.58/3,183.56
  6. Step 6: Final answer
    x = 2,438.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.