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Finding the Fourth Proportional to 2,540.42, 3,808.28 and 979.95

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Solution

The fourth proportional to 2,540.42, 3,808.28 and 979.95 is: 1,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.42 : 3,808.28 = 979.95 : x
  2. Step 2: Convert to fraction form
    2,540.42/3,808.28 = 979.95/x
  3. Step 3: Cross multiply
    2,540.42x = 3,808.28 × 979.95
  4. Step 4: Simplify right side
    2,540.42x = 3,731,919.09
  5. Step 5: Solve for x
    x = 3,731,919.09/2,540.42
  6. Step 6: Final answer
    x = 1,469.02

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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.