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Finding the Fourth Proportional to 1,998.36, 2,996.38 and 611.30

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Solution

The fourth proportional to 1,998.36, 2,996.38 and 611.30 is: 916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.36 : 2,996.38 = 611.30 : x
  2. Step 2: Convert to fraction form
    1,998.36/2,996.38 = 611.30/x
  3. Step 3: Cross multiply
    1,998.36x = 2,996.38 × 611.30
  4. Step 4: Simplify right side
    1,998.36x = 1,831,687.09
  5. Step 5: Solve for x
    x = 1,831,687.09/1,998.36
  6. Step 6: Final answer
    x = 916.60

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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.