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Finding the Fourth Proportional to 2,082.36, 2,873.62 and 1,198.12

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Solution

The fourth proportional to 2,082.36, 2,873.62 and 1,198.12 is: 1,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.36 : 2,873.62 = 1,198.12 : x
  2. Step 2: Convert to fraction form
    2,082.36/2,873.62 = 1,198.12/x
  3. Step 3: Cross multiply
    2,082.36x = 2,873.62 × 1,198.12
  4. Step 4: Simplify right side
    2,082.36x = 3,442,941.59
  5. Step 5: Solve for x
    x = 3,442,941.59/2,082.36
  6. Step 6: Final answer
    x = 1,653.38

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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.