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Finding the Fourth Proportional to 2,630.92, 3,942.54 and 1,902.04

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Solution

The fourth proportional to 2,630.92, 3,942.54 and 1,902.04 is: 2,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.92 : 3,942.54 = 1,902.04 : x
  2. Step 2: Convert to fraction form
    2,630.92/3,942.54 = 1,902.04/x
  3. Step 3: Cross multiply
    2,630.92x = 3,942.54 × 1,902.04
  4. Step 4: Simplify right side
    2,630.92x = 7,498,868.78
  5. Step 5: Solve for x
    x = 7,498,868.78/2,630.92
  6. Step 6: Final answer
    x = 2,850.28

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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.