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Finding the Fourth Proportional to 3,490.50, 4,816.90 and 1,998.44

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Solution

The fourth proportional to 3,490.50, 4,816.90 and 1,998.44 is: 2,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.50 : 4,816.90 = 1,998.44 : x
  2. Step 2: Convert to fraction form
    3,490.50/4,816.90 = 1,998.44/x
  3. Step 3: Cross multiply
    3,490.50x = 4,816.90 × 1,998.44
  4. Step 4: Simplify right side
    3,490.50x = 9,626,285.64
  5. Step 5: Solve for x
    x = 9,626,285.64/3,490.50
  6. Step 6: Final answer
    x = 2,757.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.