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Finding the Fourth Proportional to 1,422.34, 2,131.83 and 641.43

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Solution

The fourth proportional to 1,422.34, 2,131.83 and 641.43 is: 961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.34 : 2,131.83 = 641.43 : x
  2. Step 2: Convert to fraction form
    1,422.34/2,131.83 = 641.43/x
  3. Step 3: Cross multiply
    1,422.34x = 2,131.83 × 641.43
  4. Step 4: Simplify right side
    1,422.34x = 1,367,419.72
  5. Step 5: Solve for x
    x = 1,367,419.72/1,422.34
  6. Step 6: Final answer
    x = 961.39

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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.