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Finding the Fourth Proportional to 2,128.59, 3,193.29 and 667.44

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Solution

The fourth proportional to 2,128.59, 3,193.29 and 667.44 is: 1,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.59 : 3,193.29 = 667.44 : x
  2. Step 2: Convert to fraction form
    2,128.59/3,193.29 = 667.44/x
  3. Step 3: Cross multiply
    2,128.59x = 3,193.29 × 667.44
  4. Step 4: Simplify right side
    2,128.59x = 2,131,329.48
  5. Step 5: Solve for x
    x = 2,131,329.48/2,128.59
  6. Step 6: Final answer
    x = 1,001.29

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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.