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Finding the Fourth Proportional to 2,906.52, 4,359.42 and 826.68

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Solution

The fourth proportional to 2,906.52, 4,359.42 and 826.68 is: 1,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.52 : 4,359.42 = 826.68 : x
  2. Step 2: Convert to fraction form
    2,906.52/4,359.42 = 826.68/x
  3. Step 3: Cross multiply
    2,906.52x = 4,359.42 × 826.68
  4. Step 4: Simplify right side
    2,906.52x = 3,603,845.33
  5. Step 5: Solve for x
    x = 3,603,845.33/2,906.52
  6. Step 6: Final answer
    x = 1,239.92

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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.