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Finding the Fourth Proportional to 2,874.44, 3,966.63 and 1,615.46

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Solution

The fourth proportional to 2,874.44, 3,966.63 and 1,615.46 is: 2,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.44 : 3,966.63 = 1,615.46 : x
  2. Step 2: Convert to fraction form
    2,874.44/3,966.63 = 1,615.46/x
  3. Step 3: Cross multiply
    2,874.44x = 3,966.63 × 1,615.46
  4. Step 4: Simplify right side
    2,874.44x = 6,407,912.27
  5. Step 5: Solve for x
    x = 6,407,912.27/2,874.44
  6. Step 6: Final answer
    x = 2,229.28

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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.