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Finding the Fourth Proportional to 1,954.70, 2,696.84 and 1,198.20

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Solution

The fourth proportional to 1,954.70, 2,696.84 and 1,198.20 is: 1,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.70 : 2,696.84 = 1,198.20 : x
  2. Step 2: Convert to fraction form
    1,954.70/2,696.84 = 1,198.20/x
  3. Step 3: Cross multiply
    1,954.70x = 2,696.84 × 1,198.20
  4. Step 4: Simplify right side
    1,954.70x = 3,231,353.69
  5. Step 5: Solve for x
    x = 3,231,353.69/1,954.70
  6. Step 6: Final answer
    x = 1,653.12

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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.