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Finding the Fourth Proportional to 2,067.75, 3,099.74 and 1,887.39

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Solution

The fourth proportional to 2,067.75, 3,099.74 and 1,887.39 is: 2,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.75 : 3,099.74 = 1,887.39 : x
  2. Step 2: Convert to fraction form
    2,067.75/3,099.74 = 1,887.39/x
  3. Step 3: Cross multiply
    2,067.75x = 3,099.74 × 1,887.39
  4. Step 4: Simplify right side
    2,067.75x = 5,850,408.84
  5. Step 5: Solve for x
    x = 5,850,408.84/2,067.75
  6. Step 6: Final answer
    x = 2,829.36

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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.