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Finding the Fourth Proportional to 2,093.14, 3,140.56 and 997.20

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Solution

The fourth proportional to 2,093.14, 3,140.56 and 997.20 is: 1,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.14 : 3,140.56 = 997.20 : x
  2. Step 2: Convert to fraction form
    2,093.14/3,140.56 = 997.20/x
  3. Step 3: Cross multiply
    2,093.14x = 3,140.56 × 997.20
  4. Step 4: Simplify right side
    2,093.14x = 3,131,766.43
  5. Step 5: Solve for x
    x = 3,131,766.43/2,093.14
  6. Step 6: Final answer
    x = 1,496.20

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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.