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Finding the Fourth Proportional to 2,706.28, 4,059.56 and 857.66

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Solution

The fourth proportional to 2,706.28, 4,059.56 and 857.66 is: 1,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.28 : 4,059.56 = 857.66 : x
  2. Step 2: Convert to fraction form
    2,706.28/4,059.56 = 857.66/x
  3. Step 3: Cross multiply
    2,706.28x = 4,059.56 × 857.66
  4. Step 4: Simplify right side
    2,706.28x = 3,481,704.08
  5. Step 5: Solve for x
    x = 3,481,704.08/2,706.28
  6. Step 6: Final answer
    x = 1,286.53

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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.