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Finding the Fourth Proportional to 2,734.21, 3,772.23 and 1,614.90

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Solution

The fourth proportional to 2,734.21, 3,772.23 and 1,614.90 is: 2,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.21 : 3,772.23 = 1,614.90 : x
  2. Step 2: Convert to fraction form
    2,734.21/3,772.23 = 1,614.90/x
  3. Step 3: Cross multiply
    2,734.21x = 3,772.23 × 1,614.90
  4. Step 4: Simplify right side
    2,734.21x = 6,091,791.40
  5. Step 5: Solve for x
    x = 6,091,791.40/2,734.21
  6. Step 6: Final answer
    x = 2,227.99

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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.