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Finding the Fourth Proportional to 1,691.88, 2,538.09 and 826.26

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Solution

The fourth proportional to 1,691.88, 2,538.09 and 826.26 is: 1,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.88 : 2,538.09 = 826.26 : x
  2. Step 2: Convert to fraction form
    1,691.88/2,538.09 = 826.26/x
  3. Step 3: Cross multiply
    1,691.88x = 2,538.09 × 826.26
  4. Step 4: Simplify right side
    1,691.88x = 2,097,122.24
  5. Step 5: Solve for x
    x = 2,097,122.24/1,691.88
  6. Step 6: Final answer
    x = 1,239.52

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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.