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Finding the Fourth Proportional to 2,546.93, 3,820.74 and 1,086.43

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Solution

The fourth proportional to 2,546.93, 3,820.74 and 1,086.43 is: 1,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.93 : 3,820.74 = 1,086.43 : x
  2. Step 2: Convert to fraction form
    2,546.93/3,820.74 = 1,086.43/x
  3. Step 3: Cross multiply
    2,546.93x = 3,820.74 × 1,086.43
  4. Step 4: Simplify right side
    2,546.93x = 4,150,957.01
  5. Step 5: Solve for x
    x = 4,150,957.01/2,546.93
  6. Step 6: Final answer
    x = 1,629.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.