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Finding the Fourth Proportional to 1,693.26, 2,536.25 and 825.75

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Solution

The fourth proportional to 1,693.26, 2,536.25 and 825.75 is: 1,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.26 : 2,536.25 = 825.75 : x
  2. Step 2: Convert to fraction form
    1,693.26/2,536.25 = 825.75/x
  3. Step 3: Cross multiply
    1,693.26x = 2,536.25 × 825.75
  4. Step 4: Simplify right side
    1,693.26x = 2,094,304.31
  5. Step 5: Solve for x
    x = 2,094,304.31/1,693.26
  6. Step 6: Final answer
    x = 1,236.85

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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.