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Finding the Fourth Proportional to 4,600.85, 6,902.23 and 1,481.09

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Solution

The fourth proportional to 4,600.85, 6,902.23 and 1,481.09 is: 2,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.85 : 6,902.23 = 1,481.09 : x
  2. Step 2: Convert to fraction form
    4,600.85/6,902.23 = 1,481.09/x
  3. Step 3: Cross multiply
    4,600.85x = 6,902.23 × 1,481.09
  4. Step 4: Simplify right side
    4,600.85x = 10,222,823.83
  5. Step 5: Solve for x
    x = 10,222,823.83/4,600.85
  6. Step 6: Final answer
    x = 2,221.94

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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.