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Finding the Fourth Proportional to 2,647.85, 3,970.49 and 798.62

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Solution

The fourth proportional to 2,647.85, 3,970.49 and 798.62 is: 1,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.85 : 3,970.49 = 798.62 : x
  2. Step 2: Convert to fraction form
    2,647.85/3,970.49 = 798.62/x
  3. Step 3: Cross multiply
    2,647.85x = 3,970.49 × 798.62
  4. Step 4: Simplify right side
    2,647.85x = 3,170,912.72
  5. Step 5: Solve for x
    x = 3,170,912.72/2,647.85
  6. Step 6: Final answer
    x = 1,197.54

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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.