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Finding the Fourth Proportional to 2,772.90, 4,163.40 and 1,954.80

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Solution

The fourth proportional to 2,772.90, 4,163.40 and 1,954.80 is: 2,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.90 : 4,163.40 = 1,954.80 : x
  2. Step 2: Convert to fraction form
    2,772.90/4,163.40 = 1,954.80/x
  3. Step 3: Cross multiply
    2,772.90x = 4,163.40 × 1,954.80
  4. Step 4: Simplify right side
    2,772.90x = 8,138,614.32
  5. Step 5: Solve for x
    x = 8,138,614.32/2,772.90
  6. Step 6: Final answer
    x = 2,935.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.