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Finding the Fourth Proportional to 3,322.70, 4,584.92 and 1,906.31

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Solution

The fourth proportional to 3,322.70, 4,584.92 and 1,906.31 is: 2,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.70 : 4,584.92 = 1,906.31 : x
  2. Step 2: Convert to fraction form
    3,322.70/4,584.92 = 1,906.31/x
  3. Step 3: Cross multiply
    3,322.70x = 4,584.92 × 1,906.31
  4. Step 4: Simplify right side
    3,322.70x = 8,740,255.92
  5. Step 5: Solve for x
    x = 8,740,255.92/3,322.70
  6. Step 6: Final answer
    x = 2,630.47

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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.