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Finding the Fourth Proportional to 2,616.27, 3,924.34 and 767.42

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Solution

The fourth proportional to 2,616.27, 3,924.34 and 767.42 is: 1,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.27 : 3,924.34 = 767.42 : x
  2. Step 2: Convert to fraction form
    2,616.27/3,924.34 = 767.42/x
  3. Step 3: Cross multiply
    2,616.27x = 3,924.34 × 767.42
  4. Step 4: Simplify right side
    2,616.27x = 3,011,631.17
  5. Step 5: Solve for x
    x = 3,011,631.17/2,616.27
  6. Step 6: Final answer
    x = 1,151.11

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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.