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Finding the Fourth Proportional to 2,741.78, 4,114.78 and 2,040.57

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Solution

The fourth proportional to 2,741.78, 4,114.78 and 2,040.57 is: 3,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.78 : 4,114.78 = 2,040.57 : x
  2. Step 2: Convert to fraction form
    2,741.78/4,114.78 = 2,040.57/x
  3. Step 3: Cross multiply
    2,741.78x = 4,114.78 × 2,040.57
  4. Step 4: Simplify right side
    2,741.78x = 8,396,497.26
  5. Step 5: Solve for x
    x = 8,396,497.26/2,741.78
  6. Step 6: Final answer
    x = 3,062.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.