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Finding the Fourth Proportional to 2,080.80, 3,121.20 and 847.44

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Solution

The fourth proportional to 2,080.80, 3,121.20 and 847.44 is: 1,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.80 : 3,121.20 = 847.44 : x
  2. Step 2: Convert to fraction form
    2,080.80/3,121.20 = 847.44/x
  3. Step 3: Cross multiply
    2,080.80x = 3,121.20 × 847.44
  4. Step 4: Simplify right side
    2,080.80x = 2,645,029.73
  5. Step 5: Solve for x
    x = 2,645,029.73/2,080.80
  6. Step 6: Final answer
    x = 1,271.16

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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.