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Finding the Fourth Proportional to 3,299.60, 4,946.04 and 1,838.48

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Solution

The fourth proportional to 3,299.60, 4,946.04 and 1,838.48 is: 2,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.60 : 4,946.04 = 1,838.48 : x
  2. Step 2: Convert to fraction form
    3,299.60/4,946.04 = 1,838.48/x
  3. Step 3: Cross multiply
    3,299.60x = 4,946.04 × 1,838.48
  4. Step 4: Simplify right side
    3,299.60x = 9,093,195.62
  5. Step 5: Solve for x
    x = 9,093,195.62/3,299.60
  6. Step 6: Final answer
    x = 2,755.85

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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.