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Finding the Fourth Proportional to 2,588.36, 3,882.56 and 640.58

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Solution

The fourth proportional to 2,588.36, 3,882.56 and 640.58 is: 960.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.36 : 3,882.56 = 640.58 : x
  2. Step 2: Convert to fraction form
    2,588.36/3,882.56 = 640.58/x
  3. Step 3: Cross multiply
    2,588.36x = 3,882.56 × 640.58
  4. Step 4: Simplify right side
    2,588.36x = 2,487,067.67
  5. Step 5: Solve for x
    x = 2,487,067.67/2,588.36
  6. Step 6: Final answer
    x = 960.87

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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.