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Finding the Fourth Proportional to 2,647.39, 3,970.92 and 798.46

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Solution

The fourth proportional to 2,647.39, 3,970.92 and 798.46 is: 1,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.39 : 3,970.92 = 798.46 : x
  2. Step 2: Convert to fraction form
    2,647.39/3,970.92 = 798.46/x
  3. Step 3: Cross multiply
    2,647.39x = 3,970.92 × 798.46
  4. Step 4: Simplify right side
    2,647.39x = 3,170,620.78
  5. Step 5: Solve for x
    x = 3,170,620.78/2,647.39
  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.