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Finding the Fourth Proportional to 2,546.08, 3,819.44 and 1,314.08

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Solution

The fourth proportional to 2,546.08, 3,819.44 and 1,314.08 is: 1,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.08 : 3,819.44 = 1,314.08 : x
  2. Step 2: Convert to fraction form
    2,546.08/3,819.44 = 1,314.08/x
  3. Step 3: Cross multiply
    2,546.08x = 3,819.44 × 1,314.08
  4. Step 4: Simplify right side
    2,546.08x = 5,019,049.72
  5. Step 5: Solve for x
    x = 5,019,049.72/2,546.08
  6. Step 6: Final answer
    x = 1,971.29

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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.