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Finding the Fourth Proportional to 2,098.66, 3,144.75 and 799.42

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Solution

The fourth proportional to 2,098.66, 3,144.75 and 799.42 is: 1,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.66 : 3,144.75 = 799.42 : x
  2. Step 2: Convert to fraction form
    2,098.66/3,144.75 = 799.42/x
  3. Step 3: Cross multiply
    2,098.66x = 3,144.75 × 799.42
  4. Step 4: Simplify right side
    2,098.66x = 2,513,976.05
  5. Step 5: Solve for x
    x = 2,513,976.05/2,098.66
  6. Step 6: Final answer
    x = 1,197.90

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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.