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Finding the Fourth Proportional to 2,287.26, 3,431.09 and 643.82

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Solution

The fourth proportional to 2,287.26, 3,431.09 and 643.82 is: 965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.26 : 3,431.09 = 643.82 : x
  2. Step 2: Convert to fraction form
    2,287.26/3,431.09 = 643.82/x
  3. Step 3: Cross multiply
    2,287.26x = 3,431.09 × 643.82
  4. Step 4: Simplify right side
    2,287.26x = 2,209,014.55
  5. Step 5: Solve for x
    x = 2,209,014.55/2,287.26
  6. Step 6: Final answer
    x = 965.79

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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.