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Finding the Fourth Proportional to 2,738.63, 3,777.27 and 1,842.08

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Solution

The fourth proportional to 2,738.63, 3,777.27 and 1,842.08 is: 2,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.63 : 3,777.27 = 1,842.08 : x
  2. Step 2: Convert to fraction form
    2,738.63/3,777.27 = 1,842.08/x
  3. Step 3: Cross multiply
    2,738.63x = 3,777.27 × 1,842.08
  4. Step 4: Simplify right side
    2,738.63x = 6,958,007.73
  5. Step 5: Solve for x
    x = 6,958,007.73/2,738.63
  6. Step 6: Final answer
    x = 2,540.69

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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.