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Finding the Fourth Proportional to 2,128.32, 3,192.96 and 667.52

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Solution

The fourth proportional to 2,128.32, 3,192.96 and 667.52 is: 1,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.32 : 3,192.96 = 667.52 : x
  2. Step 2: Convert to fraction form
    2,128.32/3,192.96 = 667.52/x
  3. Step 3: Cross multiply
    2,128.32x = 3,192.96 × 667.52
  4. Step 4: Simplify right side
    2,128.32x = 2,131,364.66
  5. Step 5: Solve for x
    x = 2,131,364.66/2,128.32
  6. Step 6: Final answer
    x = 1,001.43

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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.