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Finding the Fourth Proportional to 1,952.13, 2,694.03 and 1,112.94

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Solution

The fourth proportional to 1,952.13, 2,694.03 and 1,112.94 is: 1,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.13 : 2,694.03 = 1,112.94 : x
  2. Step 2: Convert to fraction form
    1,952.13/2,694.03 = 1,112.94/x
  3. Step 3: Cross multiply
    1,952.13x = 2,694.03 × 1,112.94
  4. Step 4: Simplify right side
    1,952.13x = 2,998,298.97
  5. Step 5: Solve for x
    x = 2,998,298.97/1,952.13
  6. Step 6: Final answer
    x = 1,535.92

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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.