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Finding the Fourth Proportional to 2,738.75, 3,778.18 and 1,992.38

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Solution

The fourth proportional to 2,738.75, 3,778.18 and 1,992.38 is: 2,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.75 : 3,778.18 = 1,992.38 : x
  2. Step 2: Convert to fraction form
    2,738.75/3,778.18 = 1,992.38/x
  3. Step 3: Cross multiply
    2,738.75x = 3,778.18 × 1,992.38
  4. Step 4: Simplify right side
    2,738.75x = 7,527,546.40
  5. Step 5: Solve for x
    x = 7,527,546.40/2,738.75
  6. Step 6: Final answer
    x = 2,748.54

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Why These Related Problems?

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