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Finding the Fourth Proportional to 2,562.14, 3,843.21 and 713.26

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Solution

The fourth proportional to 2,562.14, 3,843.21 and 713.26 is: 1,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.14 : 3,843.21 = 713.26 : x
  2. Step 2: Convert to fraction form
    2,562.14/3,843.21 = 713.26/x
  3. Step 3: Cross multiply
    2,562.14x = 3,843.21 × 713.26
  4. Step 4: Simplify right side
    2,562.14x = 2,741,186.97
  5. Step 5: Solve for x
    x = 2,741,186.97/2,562.14
  6. Step 6: Final answer
    x = 1,069.88

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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.