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Finding the Fourth Proportional to 2,192.21, 3,288.54 and 730.97

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Solution

The fourth proportional to 2,192.21, 3,288.54 and 730.97 is: 1,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.21 : 3,288.54 = 730.97 : x
  2. Step 2: Convert to fraction form
    2,192.21/3,288.54 = 730.97/x
  3. Step 3: Cross multiply
    2,192.21x = 3,288.54 × 730.97
  4. Step 4: Simplify right side
    2,192.21x = 2,403,824.08
  5. Step 5: Solve for x
    x = 2,403,824.08/2,192.21
  6. Step 6: Final answer
    x = 1,096.53

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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.