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Finding the Fourth Proportional to 3,213.80, 4,819.97 and 905.48

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Solution

The fourth proportional to 3,213.80, 4,819.97 and 905.48 is: 1,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.80 : 4,819.97 = 905.48 : x
  2. Step 2: Convert to fraction form
    3,213.80/4,819.97 = 905.48/x
  3. Step 3: Cross multiply
    3,213.80x = 4,819.97 × 905.48
  4. Step 4: Simplify right side
    3,213.80x = 4,364,364.60
  5. Step 5: Solve for x
    x = 4,364,364.60/3,213.80
  6. Step 6: Final answer
    x = 1,358.01

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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.