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Finding the Fourth Proportional to 2,647.44, 3,971.64 and 798.48

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Solution

The fourth proportional to 2,647.44, 3,971.64 and 798.48 is: 1,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.44 : 3,971.64 = 798.48 : x
  2. Step 2: Convert to fraction form
    2,647.44/3,971.64 = 798.48/x
  3. Step 3: Cross multiply
    2,647.44x = 3,971.64 × 798.48
  4. Step 4: Simplify right side
    2,647.44x = 3,171,275.11
  5. Step 5: Solve for x
    x = 3,171,275.11/2,647.44
  6. Step 6: Final answer
    x = 1,197.86

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1.5x scale

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.