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Finding the Fourth Proportional to 2,169.63, 3,251.83 and 998.02

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Solution

The fourth proportional to 2,169.63, 3,251.83 and 998.02 is: 1,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.63 : 3,251.83 = 998.02 : x
  2. Step 2: Convert to fraction form
    2,169.63/3,251.83 = 998.02/x
  3. Step 3: Cross multiply
    2,169.63x = 3,251.83 × 998.02
  4. Step 4: Simplify right side
    2,169.63x = 3,245,375.12
  5. Step 5: Solve for x
    x = 3,245,375.12/2,169.63
  6. Step 6: Final answer
    x = 1,495.82

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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.