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Finding the Fourth Proportional to 3,067.23, 4,233.11 and 1,741.40

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Solution

The fourth proportional to 3,067.23, 4,233.11 and 1,741.40 is: 2,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.23 : 4,233.11 = 1,741.40 : x
  2. Step 2: Convert to fraction form
    3,067.23/4,233.11 = 1,741.40/x
  3. Step 3: Cross multiply
    3,067.23x = 4,233.11 × 1,741.40
  4. Step 4: Simplify right side
    3,067.23x = 7,371,537.75
  5. Step 5: Solve for x
    x = 7,371,537.75/3,067.23
  6. Step 6: Final answer
    x = 2,403.32

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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.