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Finding the Fourth Proportional to 1,267.96, 1,902 and 1,198.69

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Solution

The fourth proportional to 1,267.96, 1,902 and 1,198.69 is: 1,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.96 : 1,902 = 1,198.69 : x
  2. Step 2: Convert to fraction form
    1,267.96/1,902 = 1,198.69/x
  3. Step 3: Cross multiply
    1,267.96x = 1,902 × 1,198.69
  4. Step 4: Simplify right side
    1,267.96x = 2,279,908.38
  5. Step 5: Solve for x
    x = 2,279,908.38/1,267.96
  6. Step 6: Final answer
    x = 1,798.09

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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.