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Finding the Fourth Proportional to 2,869, 3,959.46 and 1,627.24

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Solution

The fourth proportional to 2,869, 3,959.46 and 1,627.24 is: 2,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869 : 3,959.46 = 1,627.24 : x
  2. Step 2: Convert to fraction form
    2,869/3,959.46 = 1,627.24/x
  3. Step 3: Cross multiply
    2,869x = 3,959.46 × 1,627.24
  4. Step 4: Simplify right side
    2,869x = 6,442,991.69
  5. Step 5: Solve for x
    x = 6,442,991.69/2,869
  6. Step 6: Final answer
    x = 2,245.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.