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Finding the Fourth Proportional to 2,797.32, 4,198.86 and 2,589.96

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Solution

The fourth proportional to 2,797.32, 4,198.86 and 2,589.96 is: 3,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.32 : 4,198.86 = 2,589.96 : x
  2. Step 2: Convert to fraction form
    2,797.32/4,198.86 = 2,589.96/x
  3. Step 3: Cross multiply
    2,797.32x = 4,198.86 × 2,589.96
  4. Step 4: Simplify right side
    2,797.32x = 10,874,879.45
  5. Step 5: Solve for x
    x = 10,874,879.45/2,797.32
  6. Step 6: Final answer
    x = 3,887.61

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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.