Home / 2,082.84-2,874.78-1,198.68

Finding the Fourth Proportional to 2,082.84, 2,874.78 and 1,198.68

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Solution

The fourth proportional to 2,082.84, 2,874.78 and 1,198.68 is: 1,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.84 : 2,874.78 = 1,198.68 : x
  2. Step 2: Convert to fraction form
    2,082.84/2,874.78 = 1,198.68/x
  3. Step 3: Cross multiply
    2,082.84x = 2,874.78 × 1,198.68
  4. Step 4: Simplify right side
    2,082.84x = 3,445,941.29
  5. Step 5: Solve for x
    x = 3,445,941.29/2,082.84
  6. Step 6: Final answer
    x = 1,654.44

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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.