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Finding the Fourth Proportional to 2,734.25, 3,772.19 and 1,614.97

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Solution

The fourth proportional to 2,734.25, 3,772.19 and 1,614.97 is: 2,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.25 : 3,772.19 = 1,614.97 : x
  2. Step 2: Convert to fraction form
    2,734.25/3,772.19 = 1,614.97/x
  3. Step 3: Cross multiply
    2,734.25x = 3,772.19 × 1,614.97
  4. Step 4: Simplify right side
    2,734.25x = 6,091,946.75
  5. Step 5: Solve for x
    x = 6,091,946.75/2,734.25
  6. Step 6: Final answer
    x = 2,228.01

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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.