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Finding the Fourth Proportional to 2,706.23, 4,059.86 and 857.48

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Solution

The fourth proportional to 2,706.23, 4,059.86 and 857.48 is: 1,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.23 : 4,059.86 = 857.48 : x
  2. Step 2: Convert to fraction form
    2,706.23/4,059.86 = 857.48/x
  3. Step 3: Cross multiply
    2,706.23x = 4,059.86 × 857.48
  4. Step 4: Simplify right side
    2,706.23x = 3,481,224.17
  5. Step 5: Solve for x
    x = 3,481,224.17/2,706.23
  6. Step 6: Final answer
    x = 1,286.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.