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Finding the Fourth Proportional to 3,138.69, 4,331.37 and 1,741.44

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Solution

The fourth proportional to 3,138.69, 4,331.37 and 1,741.44 is: 2,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.69 : 4,331.37 = 1,741.44 : x
  2. Step 2: Convert to fraction form
    3,138.69/4,331.37 = 1,741.44/x
  3. Step 3: Cross multiply
    3,138.69x = 4,331.37 × 1,741.44
  4. Step 4: Simplify right side
    3,138.69x = 7,542,820.97
  5. Step 5: Solve for x
    x = 7,542,820.97/3,138.69
  6. Step 6: Final answer
    x = 2,403.17

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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.