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Finding the Fourth Proportional to 2,872.70, 4,309.10 and 792.69

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Solution

The fourth proportional to 2,872.70, 4,309.10 and 792.69 is: 1,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.70 : 4,309.10 = 792.69 : x
  2. Step 2: Convert to fraction form
    2,872.70/4,309.10 = 792.69/x
  3. Step 3: Cross multiply
    2,872.70x = 4,309.10 × 792.69
  4. Step 4: Simplify right side
    2,872.70x = 3,415,763.33
  5. Step 5: Solve for x
    x = 3,415,763.33/2,872.70
  6. Step 6: Final answer
    x = 1,189.04

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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.