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Finding the Fourth Proportional to 3,227.82, 4,844.18 and 1,280.17

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Solution

The fourth proportional to 3,227.82, 4,844.18 and 1,280.17 is: 1,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.82 : 4,844.18 = 1,280.17 : x
  2. Step 2: Convert to fraction form
    3,227.82/4,844.18 = 1,280.17/x
  3. Step 3: Cross multiply
    3,227.82x = 4,844.18 × 1,280.17
  4. Step 4: Simplify right side
    3,227.82x = 6,201,373.91
  5. Step 5: Solve for x
    x = 6,201,373.91/3,227.82
  6. Step 6: Final answer
    x = 1,921.23

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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.