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Finding the Fourth Proportional to 3,451.70, 5,175.44 and 1,694.48

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Solution

The fourth proportional to 3,451.70, 5,175.44 and 1,694.48 is: 2,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.70 : 5,175.44 = 1,694.48 : x
  2. Step 2: Convert to fraction form
    3,451.70/5,175.44 = 1,694.48/x
  3. Step 3: Cross multiply
    3,451.70x = 5,175.44 × 1,694.48
  4. Step 4: Simplify right side
    3,451.70x = 8,769,645.22
  5. Step 5: Solve for x
    x = 8,769,645.22/3,451.70
  6. Step 6: Final answer
    x = 2,540.67

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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.