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Finding the Fourth Proportional to 2,082.05, 2,873.14 and 1,198.14

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Solution

The fourth proportional to 2,082.05, 2,873.14 and 1,198.14 is: 1,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.05 : 2,873.14 = 1,198.14 : x
  2. Step 2: Convert to fraction form
    2,082.05/2,873.14 = 1,198.14/x
  3. Step 3: Cross multiply
    2,082.05x = 2,873.14 × 1,198.14
  4. Step 4: Simplify right side
    2,082.05x = 3,442,409.59
  5. Step 5: Solve for x
    x = 3,442,409.59/2,082.05
  6. Step 6: Final answer
    x = 1,653.38

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1.5x scale

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.