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Finding the Fourth Proportional to 3,408.28, 4,705.40 and 2,231.40

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Solution

The fourth proportional to 3,408.28, 4,705.40 and 2,231.40 is: 3,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.28 : 4,705.40 = 2,231.40 : x
  2. Step 2: Convert to fraction form
    3,408.28/4,705.40 = 2,231.40/x
  3. Step 3: Cross multiply
    3,408.28x = 4,705.40 × 2,231.40
  4. Step 4: Simplify right side
    3,408.28x = 10,499,629.56
  5. Step 5: Solve for x
    x = 10,499,629.56/3,408.28
  6. Step 6: Final answer
    x = 3,080.62

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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.