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Finding the Fourth Proportional to 2,273.05, 3,408.36 and 811.41

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Solution

The fourth proportional to 2,273.05, 3,408.36 and 811.41 is: 1,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.05 : 3,408.36 = 811.41 : x
  2. Step 2: Convert to fraction form
    2,273.05/3,408.36 = 811.41/x
  3. Step 3: Cross multiply
    2,273.05x = 3,408.36 × 811.41
  4. Step 4: Simplify right side
    2,273.05x = 2,765,577.39
  5. Step 5: Solve for x
    x = 2,765,577.39/2,273.05
  6. Step 6: Final answer
    x = 1,216.68

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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.