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Finding the Fourth Proportional to 1,998.42, 2,757.85 and 1,114.31

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Solution

The fourth proportional to 1,998.42, 2,757.85 and 1,114.31 is: 1,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.42 : 2,757.85 = 1,114.31 : x
  2. Step 2: Convert to fraction form
    1,998.42/2,757.85 = 1,114.31/x
  3. Step 3: Cross multiply
    1,998.42x = 2,757.85 × 1,114.31
  4. Step 4: Simplify right side
    1,998.42x = 3,073,088.43
  5. Step 5: Solve for x
    x = 3,073,088.43/1,998.42
  6. Step 6: Final answer
    x = 1,537.76

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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.