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Finding the Fourth Proportional to 2,284.73, 3,427.27 and 724.82

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Solution

The fourth proportional to 2,284.73, 3,427.27 and 724.82 is: 1,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.73 : 3,427.27 = 724.82 : x
  2. Step 2: Convert to fraction form
    2,284.73/3,427.27 = 724.82/x
  3. Step 3: Cross multiply
    2,284.73x = 3,427.27 × 724.82
  4. Step 4: Simplify right side
    2,284.73x = 2,484,141.65
  5. Step 5: Solve for x
    x = 2,484,141.65/2,284.73
  6. Step 6: Final answer
    x = 1,087.28

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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.