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Finding the Fourth Proportional to 2,129.67, 3,195.02 and 813.49

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Solution

The fourth proportional to 2,129.67, 3,195.02 and 813.49 is: 1,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.67 : 3,195.02 = 813.49 : x
  2. Step 2: Convert to fraction form
    2,129.67/3,195.02 = 813.49/x
  3. Step 3: Cross multiply
    2,129.67x = 3,195.02 × 813.49
  4. Step 4: Simplify right side
    2,129.67x = 2,599,110.87
  5. Step 5: Solve for x
    x = 2,599,110.87/2,129.67
  6. Step 6: Final answer
    x = 1,220.43

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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.