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Finding the Fourth Proportional to 3,110.46, 4,665.78 and 801.96

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Solution

The fourth proportional to 3,110.46, 4,665.78 and 801.96 is: 1,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.46 : 4,665.78 = 801.96 : x
  2. Step 2: Convert to fraction form
    3,110.46/4,665.78 = 801.96/x
  3. Step 3: Cross multiply
    3,110.46x = 4,665.78 × 801.96
  4. Step 4: Simplify right side
    3,110.46x = 3,741,768.93
  5. Step 5: Solve for x
    x = 3,741,768.93/3,110.46
  6. Step 6: Final answer
    x = 1,202.96

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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.