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Finding the Fourth Proportional to 2,801.97, 4,198.10 and 2,068.11

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Solution

The fourth proportional to 2,801.97, 4,198.10 and 2,068.11 is: 3,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.97 : 4,198.10 = 2,068.11 : x
  2. Step 2: Convert to fraction form
    2,801.97/4,198.10 = 2,068.11/x
  3. Step 3: Cross multiply
    2,801.97x = 4,198.10 × 2,068.11
  4. Step 4: Simplify right side
    2,801.97x = 8,682,122.25
  5. Step 5: Solve for x
    x = 8,682,122.25/2,801.97
  6. Step 6: Final answer
    x = 3,098.58

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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.