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Finding the Fourth Proportional to 1,517.43, 2,093.13 and 1,069.23

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Solution

The fourth proportional to 1,517.43, 2,093.13 and 1,069.23 is: 1,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.43 : 2,093.13 = 1,069.23 : x
  2. Step 2: Convert to fraction form
    1,517.43/2,093.13 = 1,069.23/x
  3. Step 3: Cross multiply
    1,517.43x = 2,093.13 × 1,069.23
  4. Step 4: Simplify right side
    1,517.43x = 2,238,037.39
  5. Step 5: Solve for x
    x = 2,238,037.39/1,517.43
  6. Step 6: Final answer
    x = 1,474.89

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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.