Home / 2,082.24-2,873.41-1,198.19

Finding the Fourth Proportional to 2,082.24, 2,873.41 and 1,198.19

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Solution

The fourth proportional to 2,082.24, 2,873.41 and 1,198.19 is: 1,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.24 : 2,873.41 = 1,198.19 : x
  2. Step 2: Convert to fraction form
    2,082.24/2,873.41 = 1,198.19/x
  3. Step 3: Cross multiply
    2,082.24x = 2,873.41 × 1,198.19
  4. Step 4: Simplify right side
    2,082.24x = 3,442,895.32
  5. Step 5: Solve for x
    x = 3,442,895.32/2,082.24
  6. Step 6: Final answer
    x = 1,653.46

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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.