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Finding the Fourth Proportional to 1,601.27, 2,400.49 and 767.88

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Solution

The fourth proportional to 1,601.27, 2,400.49 and 767.88 is: 1,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.27 : 2,400.49 = 767.88 : x
  2. Step 2: Convert to fraction form
    1,601.27/2,400.49 = 767.88/x
  3. Step 3: Cross multiply
    1,601.27x = 2,400.49 × 767.88
  4. Step 4: Simplify right side
    1,601.27x = 1,843,286.34
  5. Step 5: Solve for x
    x = 1,843,286.34/1,601.27
  6. Step 6: Final answer
    x = 1,151.14

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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.