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Finding the Fourth Proportional to 1,108.82, 1,519.09 and 1,067.30

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Solution

The fourth proportional to 1,108.82, 1,519.09 and 1,067.30 is: 1,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.82 : 1,519.09 = 1,067.30 : x
  2. Step 2: Convert to fraction form
    1,108.82/1,519.09 = 1,067.30/x
  3. Step 3: Cross multiply
    1,108.82x = 1,519.09 × 1,067.30
  4. Step 4: Simplify right side
    1,108.82x = 1,621,324.76
  5. Step 5: Solve for x
    x = 1,621,324.76/1,108.82
  6. Step 6: Final answer
    x = 1,462.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.