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Finding the Fourth Proportional to 3,196.38, 4,794.97 and 887.88

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Solution

The fourth proportional to 3,196.38, 4,794.97 and 887.88 is: 1,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.38 : 4,794.97 = 887.88 : x
  2. Step 2: Convert to fraction form
    3,196.38/4,794.97 = 887.88/x
  3. Step 3: Cross multiply
    3,196.38x = 4,794.97 × 887.88
  4. Step 4: Simplify right side
    3,196.38x = 4,257,333.99
  5. Step 5: Solve for x
    x = 4,257,333.99/3,196.38
  6. Step 6: Final answer
    x = 1,331.93

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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.