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Finding the Fourth Proportional to 2,296.75, 3,447.92 and 1,517.42

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Solution

The fourth proportional to 2,296.75, 3,447.92 and 1,517.42 is: 2,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.75 : 3,447.92 = 1,517.42 : x
  2. Step 2: Convert to fraction form
    2,296.75/3,447.92 = 1,517.42/x
  3. Step 3: Cross multiply
    2,296.75x = 3,447.92 × 1,517.42
  4. Step 4: Simplify right side
    2,296.75x = 5,231,929.32
  5. Step 5: Solve for x
    x = 5,231,929.32/2,296.75
  6. Step 6: Final answer
    x = 2,277.97

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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.