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Finding the Fourth Proportional to 3,067.78, 4,233.73 and 1,740.98

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Solution

The fourth proportional to 3,067.78, 4,233.73 and 1,740.98 is: 2,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.78 : 4,233.73 = 1,740.98 : x
  2. Step 2: Convert to fraction form
    3,067.78/4,233.73 = 1,740.98/x
  3. Step 3: Cross multiply
    3,067.78x = 4,233.73 × 1,740.98
  4. Step 4: Simplify right side
    3,067.78x = 7,370,839.26
  5. Step 5: Solve for x
    x = 7,370,839.26/3,067.78
  6. Step 6: Final answer
    x = 2,402.66

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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.