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Finding the Fourth Proportional to 2,179.99, 3,270.02 and 792.46

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Solution

The fourth proportional to 2,179.99, 3,270.02 and 792.46 is: 1,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.99 : 3,270.02 = 792.46 : x
  2. Step 2: Convert to fraction form
    2,179.99/3,270.02 = 792.46/x
  3. Step 3: Cross multiply
    2,179.99x = 3,270.02 × 792.46
  4. Step 4: Simplify right side
    2,179.99x = 2,591,360.05
  5. Step 5: Solve for x
    x = 2,591,360.05/2,179.99
  6. Step 6: Final answer
    x = 1,188.70

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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.