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Finding the Fourth Proportional to 2,546.35, 3,819.64 and 791.40

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Solution

The fourth proportional to 2,546.35, 3,819.64 and 791.40 is: 1,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.35 : 3,819.64 = 791.40 : x
  2. Step 2: Convert to fraction form
    2,546.35/3,819.64 = 791.40/x
  3. Step 3: Cross multiply
    2,546.35x = 3,819.64 × 791.40
  4. Step 4: Simplify right side
    2,546.35x = 3,022,863.10
  5. Step 5: Solve for x
    x = 3,022,863.10/2,546.35
  6. Step 6: Final answer
    x = 1,187.14

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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.