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Finding the Fourth Proportional to 2,538.54, 3,809.39 and 2,517.66

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Solution

The fourth proportional to 2,538.54, 3,809.39 and 2,517.66 is: 3,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.54 : 3,809.39 = 2,517.66 : x
  2. Step 2: Convert to fraction form
    2,538.54/3,809.39 = 2,517.66/x
  3. Step 3: Cross multiply
    2,538.54x = 3,809.39 × 2,517.66
  4. Step 4: Simplify right side
    2,538.54x = 9,590,736.24
  5. Step 5: Solve for x
    x = 9,590,736.24/2,538.54
  6. Step 6: Final answer
    x = 3,778.05

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