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Finding the Fourth Proportional to 3,288.67, 4,932.60 and 1,727.80

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Solution

The fourth proportional to 3,288.67, 4,932.60 and 1,727.80 is: 2,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.67 : 4,932.60 = 1,727.80 : x
  2. Step 2: Convert to fraction form
    3,288.67/4,932.60 = 1,727.80/x
  3. Step 3: Cross multiply
    3,288.67x = 4,932.60 × 1,727.80
  4. Step 4: Simplify right side
    3,288.67x = 8,522,546.28
  5. Step 5: Solve for x
    x = 8,522,546.28/3,288.67
  6. Step 6: Final answer
    x = 2,591.49

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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.