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Finding the Fourth Proportional to 3,231.69, 4,847.57 and 2,078.25

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Solution

The fourth proportional to 3,231.69, 4,847.57 and 2,078.25 is: 3,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.69 : 4,847.57 = 2,078.25 : x
  2. Step 2: Convert to fraction form
    3,231.69/4,847.57 = 2,078.25/x
  3. Step 3: Cross multiply
    3,231.69x = 4,847.57 × 2,078.25
  4. Step 4: Simplify right side
    3,231.69x = 10,074,451.96
  5. Step 5: Solve for x
    x = 10,074,451.96/3,231.69
  6. Step 6: Final answer
    x = 3,117.39

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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.