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Finding the Fourth Proportional to 3,261.82, 4,892.96 and 922.03

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Solution

The fourth proportional to 3,261.82, 4,892.96 and 922.03 is: 1,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.82 : 4,892.96 = 922.03 : x
  2. Step 2: Convert to fraction form
    3,261.82/4,892.96 = 922.03/x
  3. Step 3: Cross multiply
    3,261.82x = 4,892.96 × 922.03
  4. Step 4: Simplify right side
    3,261.82x = 4,511,468.32
  5. Step 5: Solve for x
    x = 4,511,468.32/3,261.82
  6. Step 6: Final answer
    x = 1,383.11

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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.