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Finding the Fourth Proportional to 2,193, 3,287.88 and 731.28

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Solution

The fourth proportional to 2,193, 3,287.88 and 731.28 is: 1,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193 : 3,287.88 = 731.28 : x
  2. Step 2: Convert to fraction form
    2,193/3,287.88 = 731.28/x
  3. Step 3: Cross multiply
    2,193x = 3,287.88 × 731.28
  4. Step 4: Simplify right side
    2,193x = 2,404,360.89
  5. Step 5: Solve for x
    x = 2,404,360.89/2,193
  6. Step 6: Final answer
    x = 1,096.38

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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.