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Finding the Fourth Proportional to 2,097.27, 3,142.26 and 1,893.15

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Solution

The fourth proportional to 2,097.27, 3,142.26 and 1,893.15 is: 2,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.27 : 3,142.26 = 1,893.15 : x
  2. Step 2: Convert to fraction form
    2,097.27/3,142.26 = 1,893.15/x
  3. Step 3: Cross multiply
    2,097.27x = 3,142.26 × 1,893.15
  4. Step 4: Simplify right side
    2,097.27x = 5,948,769.52
  5. Step 5: Solve for x
    x = 5,948,769.52/2,097.27
  6. Step 6: Final answer
    x = 2,836.43

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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.