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Finding the Fourth Proportional to 1,952.97, 2,694.81 and 1,102.19

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Solution

The fourth proportional to 1,952.97, 2,694.81 and 1,102.19 is: 1,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.97 : 2,694.81 = 1,102.19 : x
  2. Step 2: Convert to fraction form
    1,952.97/2,694.81 = 1,102.19/x
  3. Step 3: Cross multiply
    1,952.97x = 2,694.81 × 1,102.19
  4. Step 4: Simplify right side
    1,952.97x = 2,970,179.16
  5. Step 5: Solve for x
    x = 2,970,179.16/1,952.97
  6. Step 6: Final answer
    x = 1,520.85

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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.