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Finding the Fourth Proportional to 1,651.28, 2,278.71 and 905.23

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Solution

The fourth proportional to 1,651.28, 2,278.71 and 905.23 is: 1,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.28 : 2,278.71 = 905.23 : x
  2. Step 2: Convert to fraction form
    1,651.28/2,278.71 = 905.23/x
  3. Step 3: Cross multiply
    1,651.28x = 2,278.71 × 905.23
  4. Step 4: Simplify right side
    1,651.28x = 2,062,764.29
  5. Step 5: Solve for x
    x = 2,062,764.29/1,651.28
  6. Step 6: Final answer
    x = 1,249.19

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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.