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Finding the Fourth Proportional to 2,220.82, 3,331.64 and 922.39

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Solution

The fourth proportional to 2,220.82, 3,331.64 and 922.39 is: 1,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.82 : 3,331.64 = 922.39 : x
  2. Step 2: Convert to fraction form
    2,220.82/3,331.64 = 922.39/x
  3. Step 3: Cross multiply
    2,220.82x = 3,331.64 × 922.39
  4. Step 4: Simplify right side
    2,220.82x = 3,073,071.42
  5. Step 5: Solve for x
    x = 3,073,071.42/2,220.82
  6. Step 6: Final answer
    x = 1,383.76

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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.