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Finding the Fourth Proportional to 2,647.28, 3,970.92 and 798.41

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Solution

The fourth proportional to 2,647.28, 3,970.92 and 798.41 is: 1,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.28 : 3,970.92 = 798.41 : x
  2. Step 2: Convert to fraction form
    2,647.28/3,970.92 = 798.41/x
  3. Step 3: Cross multiply
    2,647.28x = 3,970.92 × 798.41
  4. Step 4: Simplify right side
    2,647.28x = 3,170,422.24
  5. Step 5: Solve for x
    x = 3,170,422.24/2,647.28
  6. Step 6: Final answer
    x = 1,197.62

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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.