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Finding the Fourth Proportional to 2,540.14, 3,809.77 and 691.02

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Solution

The fourth proportional to 2,540.14, 3,809.77 and 691.02 is: 1,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.14 : 3,809.77 = 691.02 : x
  2. Step 2: Convert to fraction form
    2,540.14/3,809.77 = 691.02/x
  3. Step 3: Cross multiply
    2,540.14x = 3,809.77 × 691.02
  4. Step 4: Simplify right side
    2,540.14x = 2,632,625.54
  5. Step 5: Solve for x
    x = 2,632,625.54/2,540.14
  6. Step 6: Final answer
    x = 1,036.41

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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.