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Finding the Fourth Proportional to 2,620.91, 3,928.82 and 864.70

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Solution

The fourth proportional to 2,620.91, 3,928.82 and 864.70 is: 1,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.91 : 3,928.82 = 864.70 : x
  2. Step 2: Convert to fraction form
    2,620.91/3,928.82 = 864.70/x
  3. Step 3: Cross multiply
    2,620.91x = 3,928.82 × 864.70
  4. Step 4: Simplify right side
    2,620.91x = 3,397,250.65
  5. Step 5: Solve for x
    x = 3,397,250.65/2,620.91
  6. Step 6: Final answer
    x = 1,296.21

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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.