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Finding the Fourth Proportional to 2,082.80, 2,872.50 and 1,616.24

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Solution

The fourth proportional to 2,082.80, 2,872.50 and 1,616.24 is: 2,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.80 : 2,872.50 = 1,616.24 : x
  2. Step 2: Convert to fraction form
    2,082.80/2,872.50 = 1,616.24/x
  3. Step 3: Cross multiply
    2,082.80x = 2,872.50 × 1,616.24
  4. Step 4: Simplify right side
    2,082.80x = 4,642,635.04
  5. Step 5: Solve for x
    x = 4,642,635.04/2,082.80
  6. Step 6: Final answer
    x = 2,229.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.