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Finding the Fourth Proportional to 2,270.97, 3,389.31 and 2,025

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Solution

The fourth proportional to 2,270.97, 3,389.31 and 2,025 is: 3,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.97 : 3,389.31 = 2,025 : x
  2. Step 2: Convert to fraction form
    2,270.97/3,389.31 = 2,025/x
  3. Step 3: Cross multiply
    2,270.97x = 3,389.31 × 2,025
  4. Step 4: Simplify right side
    2,270.97x = 6,863,352.75
  5. Step 5: Solve for x
    x = 6,863,352.75/2,270.97
  6. Step 6: Final answer
    x = 3,022.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.