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Finding the Fourth Proportional to 2,287.09, 3,431.21 and 643.64

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Solution

The fourth proportional to 2,287.09, 3,431.21 and 643.64 is: 965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.09 : 3,431.21 = 643.64 : x
  2. Step 2: Convert to fraction form
    2,287.09/3,431.21 = 643.64/x
  3. Step 3: Cross multiply
    2,287.09x = 3,431.21 × 643.64
  4. Step 4: Simplify right side
    2,287.09x = 2,208,464.00
  5. Step 5: Solve for x
    x = 2,208,464.00/2,287.09
  6. Step 6: Final answer
    x = 965.62

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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.