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Finding the Fourth Proportional to 2,192.51, 3,287.82 and 731.27

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Solution

The fourth proportional to 2,192.51, 3,287.82 and 731.27 is: 1,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.51 : 3,287.82 = 731.27 : x
  2. Step 2: Convert to fraction form
    2,192.51/3,287.82 = 731.27/x
  3. Step 3: Cross multiply
    2,192.51x = 3,287.82 × 731.27
  4. Step 4: Simplify right side
    2,192.51x = 2,404,284.13
  5. Step 5: Solve for x
    x = 2,404,284.13/2,192.51
  6. Step 6: Final answer
    x = 1,096.59

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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.