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Finding the Fourth Proportional to 2,546.23, 3,819.47 and 792.43

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Solution

The fourth proportional to 2,546.23, 3,819.47 and 792.43 is: 1,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.23 : 3,819.47 = 792.43 : x
  2. Step 2: Convert to fraction form
    2,546.23/3,819.47 = 792.43/x
  3. Step 3: Cross multiply
    2,546.23x = 3,819.47 × 792.43
  4. Step 4: Simplify right side
    2,546.23x = 3,026,649.10
  5. Step 5: Solve for x
    x = 3,026,649.10/2,546.23
  6. Step 6: Final answer
    x = 1,188.68

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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.