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Finding the Fourth Proportional to 2,853.12, 3,940.00 and 2,697.80

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Solution

The fourth proportional to 2,853.12, 3,940.00 and 2,697.80 is: 3,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.12 : 3,940.00 = 2,697.80 : x
  2. Step 2: Convert to fraction form
    2,853.12/3,940.00 = 2,697.80/x
  3. Step 3: Cross multiply
    2,853.12x = 3,940.00 × 2,697.80
  4. Step 4: Simplify right side
    2,853.12x = 10,629,335.11
  5. Step 5: Solve for x
    x = 10,629,335.11/2,853.12
  6. Step 6: Final answer
    x = 3,725.51

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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.