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Finding the Fourth Proportional to 2,647.85, 3,971.26 and 798.53

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Solution

The fourth proportional to 2,647.85, 3,971.26 and 798.53 is: 1,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.85 : 3,971.26 = 798.53 : x
  2. Step 2: Convert to fraction form
    2,647.85/3,971.26 = 798.53/x
  3. Step 3: Cross multiply
    2,647.85x = 3,971.26 × 798.53
  4. Step 4: Simplify right side
    2,647.85x = 3,171,183.23
  5. Step 5: Solve for x
    x = 3,171,183.23/2,647.85
  6. Step 6: Final answer
    x = 1,197.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.