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Finding the Fourth Proportional to 2,966.28, 4,093.26 and 1,639.74

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Solution

The fourth proportional to 2,966.28, 4,093.26 and 1,639.74 is: 2,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.28 : 4,093.26 = 1,639.74 : x
  2. Step 2: Convert to fraction form
    2,966.28/4,093.26 = 1,639.74/x
  3. Step 3: Cross multiply
    2,966.28x = 4,093.26 × 1,639.74
  4. Step 4: Simplify right side
    2,966.28x = 6,711,882.15
  5. Step 5: Solve for x
    x = 6,711,882.15/2,966.28
  6. Step 6: Final answer
    x = 2,262.73

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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.