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Finding the Fourth Proportional to 1,952.73, 2,694.86 and 1,102.27

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Solution

The fourth proportional to 1,952.73, 2,694.86 and 1,102.27 is: 1,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.73 : 2,694.86 = 1,102.27 : x
  2. Step 2: Convert to fraction form
    1,952.73/2,694.86 = 1,102.27/x
  3. Step 3: Cross multiply
    1,952.73x = 2,694.86 × 1,102.27
  4. Step 4: Simplify right side
    1,952.73x = 2,970,451.08
  5. Step 5: Solve for x
    x = 2,970,451.08/1,952.73
  6. Step 6: Final answer
    x = 1,521.18

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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.