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Finding the Fourth Proportional to 2,853.90, 3,940.43 and 2,255.49

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Solution

The fourth proportional to 2,853.90, 3,940.43 and 2,255.49 is: 3,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.90 : 3,940.43 = 2,255.49 : x
  2. Step 2: Convert to fraction form
    2,853.90/3,940.43 = 2,255.49/x
  3. Step 3: Cross multiply
    2,853.90x = 3,940.43 × 2,255.49
  4. Step 4: Simplify right side
    2,853.90x = 8,887,600.46
  5. Step 5: Solve for x
    x = 8,887,600.46/2,853.90
  6. Step 6: Final answer
    x = 3,114.19

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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.