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Finding the Fourth Proportional to 1,844.92, 2,766.64 and 674.65

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Solution

The fourth proportional to 1,844.92, 2,766.64 and 674.65 is: 1,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.92 : 2,766.64 = 674.65 : x
  2. Step 2: Convert to fraction form
    1,844.92/2,766.64 = 674.65/x
  3. Step 3: Cross multiply
    1,844.92x = 2,766.64 × 674.65
  4. Step 4: Simplify right side
    1,844.92x = 1,866,521.44
  5. Step 5: Solve for x
    x = 1,866,521.44/1,844.92
  6. Step 6: Final answer
    x = 1,011.71

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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.