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Finding the Fourth Proportional to 2,216.10, 3,324.16 and 2,080.78

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Solution

The fourth proportional to 2,216.10, 3,324.16 and 2,080.78 is: 3,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.10 : 3,324.16 = 2,080.78 : x
  2. Step 2: Convert to fraction form
    2,216.10/3,324.16 = 2,080.78/x
  3. Step 3: Cross multiply
    2,216.10x = 3,324.16 × 2,080.78
  4. Step 4: Simplify right side
    2,216.10x = 6,916,845.64
  5. Step 5: Solve for x
    x = 6,916,845.64/2,216.10
  6. Step 6: Final answer
    x = 3,121.18

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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.