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Finding the Fourth Proportional to 2,735.69, 3,778.40 and 1,992.97

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Solution

The fourth proportional to 2,735.69, 3,778.40 and 1,992.97 is: 2,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.69 : 3,778.40 = 1,992.97 : x
  2. Step 2: Convert to fraction form
    2,735.69/3,778.40 = 1,992.97/x
  3. Step 3: Cross multiply
    2,735.69x = 3,778.40 × 1,992.97
  4. Step 4: Simplify right side
    2,735.69x = 7,530,237.85
  5. Step 5: Solve for x
    x = 7,530,237.85/2,735.69
  6. Step 6: Final answer
    x = 2,752.59

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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.