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Finding the Fourth Proportional to 2,558.14, 3,836.37 and 826.36

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Solution

The fourth proportional to 2,558.14, 3,836.37 and 826.36 is: 1,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.14 : 3,836.37 = 826.36 : x
  2. Step 2: Convert to fraction form
    2,558.14/3,836.37 = 826.36/x
  3. Step 3: Cross multiply
    2,558.14x = 3,836.37 × 826.36
  4. Step 4: Simplify right side
    2,558.14x = 3,170,213.12
  5. Step 5: Solve for x
    x = 3,170,213.12/2,558.14
  6. Step 6: Final answer
    x = 1,239.27

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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.