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Finding the Fourth Proportional to 2,825.10, 3,900.11 and 2,194.22

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Solution

The fourth proportional to 2,825.10, 3,900.11 and 2,194.22 is: 3,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.10 : 3,900.11 = 2,194.22 : x
  2. Step 2: Convert to fraction form
    2,825.10/3,900.11 = 2,194.22/x
  3. Step 3: Cross multiply
    2,825.10x = 3,900.11 × 2,194.22
  4. Step 4: Simplify right side
    2,825.10x = 8,557,668.89
  5. Step 5: Solve for x
    x = 8,557,668.89/2,825.10
  6. Step 6: Final answer
    x = 3,029.16

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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.