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Finding the Fourth Proportional to 2,942.57, 4,057.43 and 2,144.49

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Solution

The fourth proportional to 2,942.57, 4,057.43 and 2,144.49 is: 2,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.57 : 4,057.43 = 2,144.49 : x
  2. Step 2: Convert to fraction form
    2,942.57/4,057.43 = 2,144.49/x
  3. Step 3: Cross multiply
    2,942.57x = 4,057.43 × 2,144.49
  4. Step 4: Simplify right side
    2,942.57x = 8,701,087.05
  5. Step 5: Solve for x
    x = 8,701,087.05/2,942.57
  6. Step 6: Final answer
    x = 2,956.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.