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Finding the Fourth Proportional to 3,067.14, 4,233 and 1,808.50

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Solution

The fourth proportional to 3,067.14, 4,233 and 1,808.50 is: 2,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.14 : 4,233 = 1,808.50 : x
  2. Step 2: Convert to fraction form
    3,067.14/4,233 = 1,808.50/x
  3. Step 3: Cross multiply
    3,067.14x = 4,233 × 1,808.50
  4. Step 4: Simplify right side
    3,067.14x = 7,655,380.50
  5. Step 5: Solve for x
    x = 7,655,380.50/3,067.14
  6. Step 6: Final answer
    x = 2,495.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.