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Finding the Fourth Proportional to 2,540.34, 3,806.92 and 1,204.71

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Solution

The fourth proportional to 2,540.34, 3,806.92 and 1,204.71 is: 1,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.34 : 3,806.92 = 1,204.71 : x
  2. Step 2: Convert to fraction form
    2,540.34/3,806.92 = 1,204.71/x
  3. Step 3: Cross multiply
    2,540.34x = 3,806.92 × 1,204.71
  4. Step 4: Simplify right side
    2,540.34x = 4,586,234.59
  5. Step 5: Solve for x
    x = 4,586,234.59/2,540.34
  6. Step 6: Final answer
    x = 1,805.36

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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.