Home / 2,122.38-3,181.67-823.54

Finding the Fourth Proportional to 2,122.38, 3,181.67 and 823.54

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Solution

The fourth proportional to 2,122.38, 3,181.67 and 823.54 is: 1,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.38 : 3,181.67 = 823.54 : x
  2. Step 2: Convert to fraction form
    2,122.38/3,181.67 = 823.54/x
  3. Step 3: Cross multiply
    2,122.38x = 3,181.67 × 823.54
  4. Step 4: Simplify right side
    2,122.38x = 2,620,232.51
  5. Step 5: Solve for x
    x = 2,620,232.51/2,122.38
  6. Step 6: Final answer
    x = 1,234.57

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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.