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Finding the Fourth Proportional to 1,361.35, 2,042.79 and 581.27

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Solution

The fourth proportional to 1,361.35, 2,042.79 and 581.27 is: 872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.35 : 2,042.79 = 581.27 : x
  2. Step 2: Convert to fraction form
    1,361.35/2,042.79 = 581.27/x
  3. Step 3: Cross multiply
    1,361.35x = 2,042.79 × 581.27
  4. Step 4: Simplify right side
    1,361.35x = 1,187,412.54
  5. Step 5: Solve for x
    x = 1,187,412.54/1,361.35
  6. Step 6: Final answer
    x = 872.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.