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Finding the Fourth Proportional to 2,069.78, 3,105.12 and 664.17

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Solution

The fourth proportional to 2,069.78, 3,105.12 and 664.17 is: 996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.78 : 3,105.12 = 664.17 : x
  2. Step 2: Convert to fraction form
    2,069.78/3,105.12 = 664.17/x
  3. Step 3: Cross multiply
    2,069.78x = 3,105.12 × 664.17
  4. Step 4: Simplify right side
    2,069.78x = 2,062,327.55
  5. Step 5: Solve for x
    x = 2,062,327.55/2,069.78
  6. Step 6: Final answer
    x = 996.40

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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.