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Finding the Fourth Proportional to 3,183.52, 4,393.20 and 1,767.16

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Solution

The fourth proportional to 3,183.52, 4,393.20 and 1,767.16 is: 2,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.52 : 4,393.20 = 1,767.16 : x
  2. Step 2: Convert to fraction form
    3,183.52/4,393.20 = 1,767.16/x
  3. Step 3: Cross multiply
    3,183.52x = 4,393.20 × 1,767.16
  4. Step 4: Simplify right side
    3,183.52x = 7,763,487.31
  5. Step 5: Solve for x
    x = 7,763,487.31/3,183.52
  6. Step 6: Final answer
    x = 2,438.65

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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.