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Finding the Fourth Proportional to 1,998.31, 2,757.57 and 1,114.10

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Solution

The fourth proportional to 1,998.31, 2,757.57 and 1,114.10 is: 1,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.31 : 2,757.57 = 1,114.10 : x
  2. Step 2: Convert to fraction form
    1,998.31/2,757.57 = 1,114.10/x
  3. Step 3: Cross multiply
    1,998.31x = 2,757.57 × 1,114.10
  4. Step 4: Simplify right side
    1,998.31x = 3,072,189.38
  5. Step 5: Solve for x
    x = 3,072,189.38/1,998.31
  6. Step 6: Final answer
    x = 1,537.39

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Why These Related Problems?

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