Home / 2,082.48-2,873.82-1,198.44

Finding the Fourth Proportional to 2,082.48, 2,873.82 and 1,198.44

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Solution

The fourth proportional to 2,082.48, 2,873.82 and 1,198.44 is: 1,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.48 : 2,873.82 = 1,198.44 : x
  2. Step 2: Convert to fraction form
    2,082.48/2,873.82 = 1,198.44/x
  3. Step 3: Cross multiply
    2,082.48x = 2,873.82 × 1,198.44
  4. Step 4: Simplify right side
    2,082.48x = 3,444,100.84
  5. Step 5: Solve for x
    x = 3,444,100.84/2,082.48
  6. Step 6: Final answer
    x = 1,653.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.