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Finding the Fourth Proportional to 4,231.48, 6,346.48 and 1,634.44

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Solution

The fourth proportional to 4,231.48, 6,346.48 and 1,634.44 is: 2,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.48 : 6,346.48 = 1,634.44 : x
  2. Step 2: Convert to fraction form
    4,231.48/6,346.48 = 1,634.44/x
  3. Step 3: Cross multiply
    4,231.48x = 6,346.48 × 1,634.44
  4. Step 4: Simplify right side
    4,231.48x = 10,372,940.77
  5. Step 5: Solve for x
    x = 10,372,940.77/4,231.48
  6. Step 6: Final answer
    x = 2,451.37

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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.