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Finding the Fourth Proportional to 2,241.78, 3,093.09 and 1,357.41

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Solution

The fourth proportional to 2,241.78, 3,093.09 and 1,357.41 is: 1,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.78 : 3,093.09 = 1,357.41 : x
  2. Step 2: Convert to fraction form
    2,241.78/3,093.09 = 1,357.41/x
  3. Step 3: Cross multiply
    2,241.78x = 3,093.09 × 1,357.41
  4. Step 4: Simplify right side
    2,241.78x = 4,198,580.41
  5. Step 5: Solve for x
    x = 4,198,580.41/2,241.78
  6. Step 6: Final answer
    x = 1,872.88

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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.