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Finding the Fourth Proportional to 3,110.23, 4,665.39 and 801.73

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Solution

The fourth proportional to 3,110.23, 4,665.39 and 801.73 is: 1,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.23 : 4,665.39 = 801.73 : x
  2. Step 2: Convert to fraction form
    3,110.23/4,665.39 = 801.73/x
  3. Step 3: Cross multiply
    3,110.23x = 4,665.39 × 801.73
  4. Step 4: Simplify right side
    3,110.23x = 3,740,383.12
  5. Step 5: Solve for x
    x = 3,740,383.12/3,110.23
  6. Step 6: Final answer
    x = 1,202.61

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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.