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Finding the Fourth Proportional to 2,752.26, 3,794.09 and 2,254.11

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Solution

The fourth proportional to 2,752.26, 3,794.09 and 2,254.11 is: 3,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.26 : 3,794.09 = 2,254.11 : x
  2. Step 2: Convert to fraction form
    2,752.26/3,794.09 = 2,254.11/x
  3. Step 3: Cross multiply
    2,752.26x = 3,794.09 × 2,254.11
  4. Step 4: Simplify right side
    2,752.26x = 8,552,284.94
  5. Step 5: Solve for x
    x = 8,552,284.94/2,752.26
  6. Step 6: Final answer
    x = 3,107.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.