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Finding the Fourth Proportional to 2,067.89, 3,099 and 1,190.66

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Solution

The fourth proportional to 2,067.89, 3,099 and 1,190.66 is: 1,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.89 : 3,099 = 1,190.66 : x
  2. Step 2: Convert to fraction form
    2,067.89/3,099 = 1,190.66/x
  3. Step 3: Cross multiply
    2,067.89x = 3,099 × 1,190.66
  4. Step 4: Simplify right side
    2,067.89x = 3,689,855.34
  5. Step 5: Solve for x
    x = 3,689,855.34/2,067.89
  6. Step 6: Final answer
    x = 1,784.36

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