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Finding the Fourth Proportional to 3,192, 4,404.96 and 1,794.78

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Solution

The fourth proportional to 3,192, 4,404.96 and 1,794.78 is: 2,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192 : 4,404.96 = 1,794.78 : x
  2. Step 2: Convert to fraction form
    3,192/4,404.96 = 1,794.78/x
  3. Step 3: Cross multiply
    3,192x = 4,404.96 × 1,794.78
  4. Step 4: Simplify right side
    3,192x = 7,905,934.11
  5. Step 5: Solve for x
    x = 7,905,934.11/3,192
  6. Step 6: Final answer
    x = 2,476.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.