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Finding the Fourth Proportional to 2,049.45, 3,073.60 and 799.84

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Solution

The fourth proportional to 2,049.45, 3,073.60 and 799.84 is: 1,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.45 : 3,073.60 = 799.84 : x
  2. Step 2: Convert to fraction form
    2,049.45/3,073.60 = 799.84/x
  3. Step 3: Cross multiply
    2,049.45x = 3,073.60 × 799.84
  4. Step 4: Simplify right side
    2,049.45x = 2,458,388.22
  5. Step 5: Solve for x
    x = 2,458,388.22/2,049.45
  6. Step 6: Final answer
    x = 1,199.54

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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.