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Finding the Fourth Proportional to 2,263.82, 3,396.23 and 682.47

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Solution

The fourth proportional to 2,263.82, 3,396.23 and 682.47 is: 1,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.82 : 3,396.23 = 682.47 : x
  2. Step 2: Convert to fraction form
    2,263.82/3,396.23 = 682.47/x
  3. Step 3: Cross multiply
    2,263.82x = 3,396.23 × 682.47
  4. Step 4: Simplify right side
    2,263.82x = 2,317,825.09
  5. Step 5: Solve for x
    x = 2,317,825.09/2,263.82
  6. Step 6: Final answer
    x = 1,023.86

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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.