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Finding the Fourth Proportional to 1,863.96, 2,796.37 and 824.26

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Solution

The fourth proportional to 1,863.96, 2,796.37 and 824.26 is: 1,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.96 : 2,796.37 = 824.26 : x
  2. Step 2: Convert to fraction form
    1,863.96/2,796.37 = 824.26/x
  3. Step 3: Cross multiply
    1,863.96x = 2,796.37 × 824.26
  4. Step 4: Simplify right side
    1,863.96x = 2,304,935.94
  5. Step 5: Solve for x
    x = 2,304,935.94/1,863.96
  6. Step 6: Final answer
    x = 1,236.58

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Why These Related Problems?

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