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Finding the Fourth Proportional to 2,855.25, 3,940.15 and 1,660.33

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Solution

The fourth proportional to 2,855.25, 3,940.15 and 1,660.33 is: 2,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.25 : 3,940.15 = 1,660.33 : x
  2. Step 2: Convert to fraction form
    2,855.25/3,940.15 = 1,660.33/x
  3. Step 3: Cross multiply
    2,855.25x = 3,940.15 × 1,660.33
  4. Step 4: Simplify right side
    2,855.25x = 6,541,949.25
  5. Step 5: Solve for x
    x = 6,541,949.25/2,855.25
  6. Step 6: Final answer
    x = 2,291.20

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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.