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Finding the Fourth Proportional to 2,440.26, 3,661.20 and 979.02

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Solution

The fourth proportional to 2,440.26, 3,661.20 and 979.02 is: 1,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.26 : 3,661.20 = 979.02 : x
  2. Step 2: Convert to fraction form
    2,440.26/3,661.20 = 979.02/x
  3. Step 3: Cross multiply
    2,440.26x = 3,661.20 × 979.02
  4. Step 4: Simplify right side
    2,440.26x = 3,584,388.02
  5. Step 5: Solve for x
    x = 3,584,388.02/2,440.26
  6. Step 6: Final answer
    x = 1,468.85

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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.