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Finding the Fourth Proportional to 2,517.76, 3,772.20 and 1,216.42

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Solution

The fourth proportional to 2,517.76, 3,772.20 and 1,216.42 is: 1,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.76 : 3,772.20 = 1,216.42 : x
  2. Step 2: Convert to fraction form
    2,517.76/3,772.20 = 1,216.42/x
  3. Step 3: Cross multiply
    2,517.76x = 3,772.20 × 1,216.42
  4. Step 4: Simplify right side
    2,517.76x = 4,588,579.52
  5. Step 5: Solve for x
    x = 4,588,579.52/2,517.76
  6. Step 6: Final answer
    x = 1,822.48

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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.