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Finding the Fourth Proportional to 2,134.36, 3,198.43 and 901.09

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Solution

The fourth proportional to 2,134.36, 3,198.43 and 901.09 is: 1,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.36 : 3,198.43 = 901.09 : x
  2. Step 2: Convert to fraction form
    2,134.36/3,198.43 = 901.09/x
  3. Step 3: Cross multiply
    2,134.36x = 3,198.43 × 901.09
  4. Step 4: Simplify right side
    2,134.36x = 2,882,073.29
  5. Step 5: Solve for x
    x = 2,882,073.29/2,134.36
  6. Step 6: Final answer
    x = 1,350.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.