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Finding the Fourth Proportional to 2,902.08, 4,346.24 and 2,348.44

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Solution

The fourth proportional to 2,902.08, 4,346.24 and 2,348.44 is: 3,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.08 : 4,346.24 = 2,348.44 : x
  2. Step 2: Convert to fraction form
    2,902.08/4,346.24 = 2,348.44/x
  3. Step 3: Cross multiply
    2,902.08x = 4,346.24 × 2,348.44
  4. Step 4: Simplify right side
    2,902.08x = 10,206,883.87
  5. Step 5: Solve for x
    x = 10,206,883.87/2,902.08
  6. Step 6: Final answer
    x = 3,517.09

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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.