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Finding the Fourth Proportional to 2,874.22, 4,311.20 and 822.22

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Solution

The fourth proportional to 2,874.22, 4,311.20 and 822.22 is: 1,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.22 : 4,311.20 = 822.22 : x
  2. Step 2: Convert to fraction form
    2,874.22/4,311.20 = 822.22/x
  3. Step 3: Cross multiply
    2,874.22x = 4,311.20 × 822.22
  4. Step 4: Simplify right side
    2,874.22x = 3,544,754.86
  5. Step 5: Solve for x
    x = 3,544,754.86/2,874.22
  6. Step 6: Final answer
    x = 1,233.29

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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.