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Finding the Fourth Proportional to 2,517.27, 3,770.43 and 1,216

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Solution

The fourth proportional to 2,517.27, 3,770.43 and 1,216 is: 1,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.27 : 3,770.43 = 1,216 : x
  2. Step 2: Convert to fraction form
    2,517.27/3,770.43 = 1,216/x
  3. Step 3: Cross multiply
    2,517.27x = 3,770.43 × 1,216
  4. Step 4: Simplify right side
    2,517.27x = 4,584,842.88
  5. Step 5: Solve for x
    x = 4,584,842.88/2,517.27
  6. Step 6: Final answer
    x = 1,821.36

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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.