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Finding the Fourth Proportional to 3,067.69, 4,233.43 and 1,741.41

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Solution

The fourth proportional to 3,067.69, 4,233.43 and 1,741.41 is: 2,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.69 : 4,233.43 = 1,741.41 : x
  2. Step 2: Convert to fraction form
    3,067.69/4,233.43 = 1,741.41/x
  3. Step 3: Cross multiply
    3,067.69x = 4,233.43 × 1,741.41
  4. Step 4: Simplify right side
    3,067.69x = 7,372,128.63
  5. Step 5: Solve for x
    x = 7,372,128.63/3,067.69
  6. Step 6: Final answer
    x = 2,403.16

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Why These Related Problems?

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