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Finding the Fourth Proportional to 2,236.44, 3,355.14 and 676.41

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Solution

The fourth proportional to 2,236.44, 3,355.14 and 676.41 is: 1,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.44 : 3,355.14 = 676.41 : x
  2. Step 2: Convert to fraction form
    2,236.44/3,355.14 = 676.41/x
  3. Step 3: Cross multiply
    2,236.44x = 3,355.14 × 676.41
  4. Step 4: Simplify right side
    2,236.44x = 2,269,456.13
  5. Step 5: Solve for x
    x = 2,269,456.13/2,236.44
  6. Step 6: Final answer
    x = 1,014.76

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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.