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Finding the Fourth Proportional to 2,743.41, 4,105.40 and 2,419.41

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Solution

The fourth proportional to 2,743.41, 4,105.40 and 2,419.41 is: 3,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.41 : 4,105.40 = 2,419.41 : x
  2. Step 2: Convert to fraction form
    2,743.41/4,105.40 = 2,419.41/x
  3. Step 3: Cross multiply
    2,743.41x = 4,105.40 × 2,419.41
  4. Step 4: Simplify right side
    2,743.41x = 9,932,633.72
  5. Step 5: Solve for x
    x = 9,932,633.72/2,743.41
  6. Step 6: Final answer
    x = 3,620.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.