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Finding the Fourth Proportional to 1,998.85, 2,758.44 and 1,148.24

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Solution

The fourth proportional to 1,998.85, 2,758.44 and 1,148.24 is: 1,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.85 : 2,758.44 = 1,148.24 : x
  2. Step 2: Convert to fraction form
    1,998.85/2,758.44 = 1,148.24/x
  3. Step 3: Cross multiply
    1,998.85x = 2,758.44 × 1,148.24
  4. Step 4: Simplify right side
    1,998.85x = 3,167,351.15
  5. Step 5: Solve for x
    x = 3,167,351.15/1,998.85
  6. Step 6: Final answer
    x = 1,584.59

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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.