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Finding the Fourth Proportional to 2,099.23, 3,147.92 and 799.79

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Solution

The fourth proportional to 2,099.23, 3,147.92 and 799.79 is: 1,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.23 : 3,147.92 = 799.79 : x
  2. Step 2: Convert to fraction form
    2,099.23/3,147.92 = 799.79/x
  3. Step 3: Cross multiply
    2,099.23x = 3,147.92 × 799.79
  4. Step 4: Simplify right side
    2,099.23x = 2,517,661.20
  5. Step 5: Solve for x
    x = 2,517,661.20/2,099.23
  6. Step 6: Final answer
    x = 1,199.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.