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Finding the Fourth Proportional to 3,067.41, 4,233.08 and 1,670.16

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Solution

The fourth proportional to 3,067.41, 4,233.08 and 1,670.16 is: 2,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.41 : 4,233.08 = 1,670.16 : x
  2. Step 2: Convert to fraction form
    3,067.41/4,233.08 = 1,670.16/x
  3. Step 3: Cross multiply
    3,067.41x = 4,233.08 × 1,670.16
  4. Step 4: Simplify right side
    3,067.41x = 7,069,912.54
  5. Step 5: Solve for x
    x = 7,069,912.54/3,067.41
  6. Step 6: Final answer
    x = 2,304.85

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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.