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Finding the Fourth Proportional to 2,706.39, 4,059.72 and 857.55

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Solution

The fourth proportional to 2,706.39, 4,059.72 and 857.55 is: 1,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.39 : 4,059.72 = 857.55 : x
  2. Step 2: Convert to fraction form
    2,706.39/4,059.72 = 857.55/x
  3. Step 3: Cross multiply
    2,706.39x = 4,059.72 × 857.55
  4. Step 4: Simplify right side
    2,706.39x = 3,481,412.89
  5. Step 5: Solve for x
    x = 3,481,412.89/2,706.39
  6. Step 6: Final answer
    x = 1,286.37

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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.