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Finding the Fourth Proportional to 3,395.96, 4,685.64 and 1,998.80

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Solution

The fourth proportional to 3,395.96, 4,685.64 and 1,998.80 is: 2,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.96 : 4,685.64 = 1,998.80 : x
  2. Step 2: Convert to fraction form
    3,395.96/4,685.64 = 1,998.80/x
  3. Step 3: Cross multiply
    3,395.96x = 4,685.64 × 1,998.80
  4. Step 4: Simplify right side
    3,395.96x = 9,365,657.23
  5. Step 5: Solve for x
    x = 9,365,657.23/3,395.96
  6. Step 6: Final answer
    x = 2,757.88

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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.