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Finding the Fourth Proportional to 2,540.48, 3,809.10 and 979.62

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Solution

The fourth proportional to 2,540.48, 3,809.10 and 979.62 is: 1,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.48 : 3,809.10 = 979.62 : x
  2. Step 2: Convert to fraction form
    2,540.48/3,809.10 = 979.62/x
  3. Step 3: Cross multiply
    2,540.48x = 3,809.10 × 979.62
  4. Step 4: Simplify right side
    2,540.48x = 3,731,470.54
  5. Step 5: Solve for x
    x = 3,731,470.54/2,540.48
  6. Step 6: Final answer
    x = 1,468.81

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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.