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Finding the Fourth Proportional to 3,262.68, 4,893.99 and 797.48

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Solution

The fourth proportional to 3,262.68, 4,893.99 and 797.48 is: 1,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.68 : 4,893.99 = 797.48 : x
  2. Step 2: Convert to fraction form
    3,262.68/4,893.99 = 797.48/x
  3. Step 3: Cross multiply
    3,262.68x = 4,893.99 × 797.48
  4. Step 4: Simplify right side
    3,262.68x = 3,902,856.77
  5. Step 5: Solve for x
    x = 3,902,856.77/3,262.68
  6. Step 6: Final answer
    x = 1,196.21

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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.