Home / 2,122.12-3,183.30-823.48

Finding the Fourth Proportional to 2,122.12, 3,183.30 and 823.48

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Solution

The fourth proportional to 2,122.12, 3,183.30 and 823.48 is: 1,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.12 : 3,183.30 = 823.48 : x
  2. Step 2: Convert to fraction form
    2,122.12/3,183.30 = 823.48/x
  3. Step 3: Cross multiply
    2,122.12x = 3,183.30 × 823.48
  4. Step 4: Simplify right side
    2,122.12x = 2,621,383.88
  5. Step 5: Solve for x
    x = 2,621,383.88/2,122.12
  6. Step 6: Final answer
    x = 1,235.27

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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.