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Finding the Fourth Proportional to 2,866.26, 4,292.97 and 2,491.26

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Solution

The fourth proportional to 2,866.26, 4,292.97 and 2,491.26 is: 3,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.26 : 4,292.97 = 2,491.26 : x
  2. Step 2: Convert to fraction form
    2,866.26/4,292.97 = 2,491.26/x
  3. Step 3: Cross multiply
    2,866.26x = 4,292.97 × 2,491.26
  4. Step 4: Simplify right side
    2,866.26x = 10,694,904.44
  5. Step 5: Solve for x
    x = 10,694,904.44/2,866.26
  6. Step 6: Final answer
    x = 3,731.31

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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.