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Finding the Fourth Proportional to 2,221.33, 3,330.83 and 661.12

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Solution

The fourth proportional to 2,221.33, 3,330.83 and 661.12 is: 991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.33 : 3,330.83 = 661.12 : x
  2. Step 2: Convert to fraction form
    2,221.33/3,330.83 = 661.12/x
  3. Step 3: Cross multiply
    2,221.33x = 3,330.83 × 661.12
  4. Step 4: Simplify right side
    2,221.33x = 2,202,058.37
  5. Step 5: Solve for x
    x = 2,202,058.37/2,221.33
  6. Step 6: Final answer
    x = 991.33

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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.