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Finding the Fourth Proportional to 2,746.86, 4,120.42 and 799.21

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Solution

The fourth proportional to 2,746.86, 4,120.42 and 799.21 is: 1,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.86 : 4,120.42 = 799.21 : x
  2. Step 2: Convert to fraction form
    2,746.86/4,120.42 = 799.21/x
  3. Step 3: Cross multiply
    2,746.86x = 4,120.42 × 799.21
  4. Step 4: Simplify right side
    2,746.86x = 3,293,080.87
  5. Step 5: Solve for x
    x = 3,293,080.87/2,746.86
  6. Step 6: Final answer
    x = 1,198.85

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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.