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Finding the Fourth Proportional to 1,568.43, 2,164.39 and 905.26

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Solution

The fourth proportional to 1,568.43, 2,164.39 and 905.26 is: 1,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.43 : 2,164.39 = 905.26 : x
  2. Step 2: Convert to fraction form
    1,568.43/2,164.39 = 905.26/x
  3. Step 3: Cross multiply
    1,568.43x = 2,164.39 × 905.26
  4. Step 4: Simplify right side
    1,568.43x = 1,959,335.69
  5. Step 5: Solve for x
    x = 1,959,335.69/1,568.43
  6. Step 6: Final answer
    x = 1,249.23

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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.