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Finding the Fourth Proportional to 3,490.80, 4,817.57 and 1,999.18

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Solution

The fourth proportional to 3,490.80, 4,817.57 and 1,999.18 is: 2,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.80 : 4,817.57 = 1,999.18 : x
  2. Step 2: Convert to fraction form
    3,490.80/4,817.57 = 1,999.18/x
  3. Step 3: Cross multiply
    3,490.80x = 4,817.57 × 1,999.18
  4. Step 4: Simplify right side
    3,490.80x = 9,631,189.59
  5. Step 5: Solve for x
    x = 9,631,189.59/3,490.80
  6. Step 6: Final answer
    x = 2,759.02

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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.