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Finding the Fourth Proportional to 2,589, 3,883.44 and 641.22

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Solution

The fourth proportional to 2,589, 3,883.44 and 641.22 is: 961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589 : 3,883.44 = 641.22 : x
  2. Step 2: Convert to fraction form
    2,589/3,883.44 = 641.22/x
  3. Step 3: Cross multiply
    2,589x = 3,883.44 × 641.22
  4. Step 4: Simplify right side
    2,589x = 2,490,139.40
  5. Step 5: Solve for x
    x = 2,490,139.40/2,589
  6. Step 6: Final answer
    x = 961.82

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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.