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Finding the Fourth Proportional to 3,211.92, 4,807.60 and 1,727.44

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Solution

The fourth proportional to 3,211.92, 4,807.60 and 1,727.44 is: 2,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.92 : 4,807.60 = 1,727.44 : x
  2. Step 2: Convert to fraction form
    3,211.92/4,807.60 = 1,727.44/x
  3. Step 3: Cross multiply
    3,211.92x = 4,807.60 × 1,727.44
  4. Step 4: Simplify right side
    3,211.92x = 8,304,840.54
  5. Step 5: Solve for x
    x = 8,304,840.54/3,211.92
  6. Step 6: Final answer
    x = 2,585.63

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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.