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Finding the Fourth Proportional to 2,267.17, 3,398.69 and 805.97

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Solution

The fourth proportional to 2,267.17, 3,398.69 and 805.97 is: 1,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.17 : 3,398.69 = 805.97 : x
  2. Step 2: Convert to fraction form
    2,267.17/3,398.69 = 805.97/x
  3. Step 3: Cross multiply
    2,267.17x = 3,398.69 × 805.97
  4. Step 4: Simplify right side
    2,267.17x = 2,739,252.69
  5. Step 5: Solve for x
    x = 2,739,252.69/2,267.17
  6. Step 6: Final answer
    x = 1,208.23

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