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Finding the Fourth Proportional to 2,588.62, 3,882.78 and 640.75

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Solution

The fourth proportional to 2,588.62, 3,882.78 and 640.75 is: 961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.62 : 3,882.78 = 640.75 : x
  2. Step 2: Convert to fraction form
    2,588.62/3,882.78 = 640.75/x
  3. Step 3: Cross multiply
    2,588.62x = 3,882.78 × 640.75
  4. Step 4: Simplify right side
    2,588.62x = 2,487,891.29
  5. Step 5: Solve for x
    x = 2,487,891.29/2,588.62
  6. Step 6: Final answer
    x = 961.09

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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.