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Finding the Fourth Proportional to 2,540.68, 3,809.10 and 1,367.56

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Solution

The fourth proportional to 2,540.68, 3,809.10 and 1,367.56 is: 2,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.68 : 3,809.10 = 1,367.56 : x
  2. Step 2: Convert to fraction form
    2,540.68/3,809.10 = 1,367.56/x
  3. Step 3: Cross multiply
    2,540.68x = 3,809.10 × 1,367.56
  4. Step 4: Simplify right side
    2,540.68x = 5,209,172.80
  5. Step 5: Solve for x
    x = 5,209,172.80/2,540.68
  6. Step 6: Final answer
    x = 2,050.31

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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.