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Finding the Fourth Proportional to 2,797.29, 4,198.68 and 2,133

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Solution

The fourth proportional to 2,797.29, 4,198.68 and 2,133 is: 3,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.29 : 4,198.68 = 2,133 : x
  2. Step 2: Convert to fraction form
    2,797.29/4,198.68 = 2,133/x
  3. Step 3: Cross multiply
    2,797.29x = 4,198.68 × 2,133
  4. Step 4: Simplify right side
    2,797.29x = 8,955,784.44
  5. Step 5: Solve for x
    x = 8,955,784.44/2,797.29
  6. Step 6: Final answer
    x = 3,201.59

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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.