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Finding the Fourth Proportional to 1,651.27, 2,278.81 and 905.29

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Solution

The fourth proportional to 1,651.27, 2,278.81 and 905.29 is: 1,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.27 : 2,278.81 = 905.29 : x
  2. Step 2: Convert to fraction form
    1,651.27/2,278.81 = 905.29/x
  3. Step 3: Cross multiply
    1,651.27x = 2,278.81 × 905.29
  4. Step 4: Simplify right side
    1,651.27x = 2,062,983.90
  5. Step 5: Solve for x
    x = 2,062,983.90/1,651.27
  6. Step 6: Final answer
    x = 1,249.33

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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.