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Finding the Fourth Proportional to 2,588.26, 3,882.34 and 640.46

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Solution

The fourth proportional to 2,588.26, 3,882.34 and 640.46 is: 960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.26 : 3,882.34 = 640.46 : x
  2. Step 2: Convert to fraction form
    2,588.26/3,882.34 = 640.46/x
  3. Step 3: Cross multiply
    2,588.26x = 3,882.34 × 640.46
  4. Step 4: Simplify right side
    2,588.26x = 2,486,493.18
  5. Step 5: Solve for x
    x = 2,486,493.18/2,588.26
  6. Step 6: Final answer
    x = 960.68

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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.