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Finding the Fourth Proportional to 2,108.44, 3,161.44 and 874.44

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Solution

The fourth proportional to 2,108.44, 3,161.44 and 874.44 is: 1,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.44 : 3,161.44 = 874.44 : x
  2. Step 2: Convert to fraction form
    2,108.44/3,161.44 = 874.44/x
  3. Step 3: Cross multiply
    2,108.44x = 3,161.44 × 874.44
  4. Step 4: Simplify right side
    2,108.44x = 2,764,489.59
  5. Step 5: Solve for x
    x = 2,764,489.59/2,108.44
  6. Step 6: Final answer
    x = 1,311.15

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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.