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Finding the Fourth Proportional to 3,262.96, 4,894.41 and 797.82

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Solution

The fourth proportional to 3,262.96, 4,894.41 and 797.82 is: 1,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.96 : 4,894.41 = 797.82 : x
  2. Step 2: Convert to fraction form
    3,262.96/4,894.41 = 797.82/x
  3. Step 3: Cross multiply
    3,262.96x = 4,894.41 × 797.82
  4. Step 4: Simplify right side
    3,262.96x = 3,904,858.19
  5. Step 5: Solve for x
    x = 3,904,858.19/3,262.96
  6. Step 6: Final answer
    x = 1,196.72

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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.