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Finding the Fourth Proportional to 2,440.85, 3,660.87 and 797.39

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Solution

The fourth proportional to 2,440.85, 3,660.87 and 797.39 is: 1,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.85 : 3,660.87 = 797.39 : x
  2. Step 2: Convert to fraction form
    2,440.85/3,660.87 = 797.39/x
  3. Step 3: Cross multiply
    2,440.85x = 3,660.87 × 797.39
  4. Step 4: Simplify right side
    2,440.85x = 2,919,122.82
  5. Step 5: Solve for x
    x = 2,919,122.82/2,440.85
  6. Step 6: Final answer
    x = 1,195.95

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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.