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Finding the Fourth Proportional to 3,262.92, 4,894.33 and 797.80

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Solution

The fourth proportional to 3,262.92, 4,894.33 and 797.80 is: 1,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.92 : 4,894.33 = 797.80 : x
  2. Step 2: Convert to fraction form
    3,262.92/4,894.33 = 797.80/x
  3. Step 3: Cross multiply
    3,262.92x = 4,894.33 × 797.80
  4. Step 4: Simplify right side
    3,262.92x = 3,904,696.47
  5. Step 5: Solve for x
    x = 3,904,696.47/3,262.92
  6. Step 6: Final answer
    x = 1,196.69

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1.5x scale

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.