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Finding the Fourth Proportional to 2,540.88, 3,809.12 and 1,081.08

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Solution

The fourth proportional to 2,540.88, 3,809.12 and 1,081.08 is: 1,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.88 : 3,809.12 = 1,081.08 : x
  2. Step 2: Convert to fraction form
    2,540.88/3,809.12 = 1,081.08/x
  3. Step 3: Cross multiply
    2,540.88x = 3,809.12 × 1,081.08
  4. Step 4: Simplify right side
    2,540.88x = 4,117,958.04
  5. Step 5: Solve for x
    x = 4,117,958.04/2,540.88
  6. Step 6: Final answer
    x = 1,620.68

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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.