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Finding the Fourth Proportional to 2,278.80, 3,144.42 and 1,616.22

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Solution

The fourth proportional to 2,278.80, 3,144.42 and 1,616.22 is: 2,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.80 : 3,144.42 = 1,616.22 : x
  2. Step 2: Convert to fraction form
    2,278.80/3,144.42 = 1,616.22/x
  3. Step 3: Cross multiply
    2,278.80x = 3,144.42 × 1,616.22
  4. Step 4: Simplify right side
    2,278.80x = 5,082,074.49
  5. Step 5: Solve for x
    x = 5,082,074.49/2,278.80
  6. Step 6: Final answer
    x = 2,230.15

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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.