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Finding the Fourth Proportional to 3,094.80, 4,640.52 and 2,122

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Solution

The fourth proportional to 3,094.80, 4,640.52 and 2,122 is: 3,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.80 : 4,640.52 = 2,122 : x
  2. Step 2: Convert to fraction form
    3,094.80/4,640.52 = 2,122/x
  3. Step 3: Cross multiply
    3,094.80x = 4,640.52 × 2,122
  4. Step 4: Simplify right side
    3,094.80x = 9,847,183.44
  5. Step 5: Solve for x
    x = 9,847,183.44/3,094.80
  6. Step 6: Final answer
    x = 3,181.85

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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.