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Finding the Fourth Proportional to 2,967.28, 4,096.26 and 1,974.20

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Solution

The fourth proportional to 2,967.28, 4,096.26 and 1,974.20 is: 2,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.28 : 4,096.26 = 1,974.20 : x
  2. Step 2: Convert to fraction form
    2,967.28/4,096.26 = 1,974.20/x
  3. Step 3: Cross multiply
    2,967.28x = 4,096.26 × 1,974.20
  4. Step 4: Simplify right side
    2,967.28x = 8,086,836.49
  5. Step 5: Solve for x
    x = 8,086,836.49/2,967.28
  6. Step 6: Final answer
    x = 2,725.34

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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.