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Finding the Fourth Proportional to 2,616.50, 3,613.12 and 1,952.21

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Solution

The fourth proportional to 2,616.50, 3,613.12 and 1,952.21 is: 2,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.50 : 3,613.12 = 1,952.21 : x
  2. Step 2: Convert to fraction form
    2,616.50/3,613.12 = 1,952.21/x
  3. Step 3: Cross multiply
    2,616.50x = 3,613.12 × 1,952.21
  4. Step 4: Simplify right side
    2,616.50x = 7,053,546.05
  5. Step 5: Solve for x
    x = 7,053,546.05/2,616.50
  6. Step 6: Final answer
    x = 2,695.79

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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.