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Finding the Fourth Proportional to 1,351.16, 1,864.68 and 827.36

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Solution

The fourth proportional to 1,351.16, 1,864.68 and 827.36 is: 1,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.16 : 1,864.68 = 827.36 : x
  2. Step 2: Convert to fraction form
    1,351.16/1,864.68 = 827.36/x
  3. Step 3: Cross multiply
    1,351.16x = 1,864.68 × 827.36
  4. Step 4: Simplify right side
    1,351.16x = 1,542,761.64
  5. Step 5: Solve for x
    x = 1,542,761.64/1,351.16
  6. Step 6: Final answer
    x = 1,141.81

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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.