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Finding the Fourth Proportional to 2,141.44, 3,212.38 and 755.15

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Solution

The fourth proportional to 2,141.44, 3,212.38 and 755.15 is: 1,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.44 : 3,212.38 = 755.15 : x
  2. Step 2: Convert to fraction form
    2,141.44/3,212.38 = 755.15/x
  3. Step 3: Cross multiply
    2,141.44x = 3,212.38 × 755.15
  4. Step 4: Simplify right side
    2,141.44x = 2,425,824.80
  5. Step 5: Solve for x
    x = 2,425,824.80/2,141.44
  6. Step 6: Final answer
    x = 1,132.80

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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.