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Finding the Fourth Proportional to 1,998.89, 2,758.34 and 1,114.52

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Solution

The fourth proportional to 1,998.89, 2,758.34 and 1,114.52 is: 1,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.89 : 2,758.34 = 1,114.52 : x
  2. Step 2: Convert to fraction form
    1,998.89/2,758.34 = 1,114.52/x
  3. Step 3: Cross multiply
    1,998.89x = 2,758.34 × 1,114.52
  4. Step 4: Simplify right side
    1,998.89x = 3,074,205.73
  5. Step 5: Solve for x
    x = 3,074,205.73/1,998.89
  6. Step 6: Final answer
    x = 1,537.96

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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.