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Finding the Fourth Proportional to 2,221.24, 3,333.01 and 905.96

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Solution

The fourth proportional to 2,221.24, 3,333.01 and 905.96 is: 1,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.24 : 3,333.01 = 905.96 : x
  2. Step 2: Convert to fraction form
    2,221.24/3,333.01 = 905.96/x
  3. Step 3: Cross multiply
    2,221.24x = 3,333.01 × 905.96
  4. Step 4: Simplify right side
    2,221.24x = 3,019,573.41
  5. Step 5: Solve for x
    x = 3,019,573.41/2,221.24
  6. Step 6: Final answer
    x = 1,359.41

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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.