Home / 2,121.32-3,183.18-822.86

Finding the Fourth Proportional to 2,121.32, 3,183.18 and 822.86

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Solution

The fourth proportional to 2,121.32, 3,183.18 and 822.86 is: 1,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.32 : 3,183.18 = 822.86 : x
  2. Step 2: Convert to fraction form
    2,121.32/3,183.18 = 822.86/x
  3. Step 3: Cross multiply
    2,121.32x = 3,183.18 × 822.86
  4. Step 4: Simplify right side
    2,121.32x = 2,619,311.49
  5. Step 5: Solve for x
    x = 2,619,311.49/2,121.32
  6. Step 6: Final answer
    x = 1,234.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.