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Finding the Fourth Proportional to 1,651.29, 2,278.76 and 905.23

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Solution

The fourth proportional to 1,651.29, 2,278.76 and 905.23 is: 1,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.29 : 2,278.76 = 905.23 : x
  2. Step 2: Convert to fraction form
    1,651.29/2,278.76 = 905.23/x
  3. Step 3: Cross multiply
    1,651.29x = 2,278.76 × 905.23
  4. Step 4: Simplify right side
    1,651.29x = 2,062,805.33
  5. Step 5: Solve for x
    x = 2,062,805.33/1,651.29
  6. Step 6: Final answer
    x = 1,249.21

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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.