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Finding the Fourth Proportional to 2,144.51, 3,212.42 and 1,796.88

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Solution

The fourth proportional to 2,144.51, 3,212.42 and 1,796.88 is: 2,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.51 : 3,212.42 = 1,796.88 : x
  2. Step 2: Convert to fraction form
    2,144.51/3,212.42 = 1,796.88/x
  3. Step 3: Cross multiply
    2,144.51x = 3,212.42 × 1,796.88
  4. Step 4: Simplify right side
    2,144.51x = 5,772,324.27
  5. Step 5: Solve for x
    x = 5,772,324.27/2,144.51
  6. Step 6: Final answer
    x = 2,691.68

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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.