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Finding the Fourth Proportional to 2,192.81, 3,289.38 and 731.96

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Solution

The fourth proportional to 2,192.81, 3,289.38 and 731.96 is: 1,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.81 : 3,289.38 = 731.96 : x
  2. Step 2: Convert to fraction form
    2,192.81/3,289.38 = 731.96/x
  3. Step 3: Cross multiply
    2,192.81x = 3,289.38 × 731.96
  4. Step 4: Simplify right side
    2,192.81x = 2,407,674.48
  5. Step 5: Solve for x
    x = 2,407,674.48/2,192.81
  6. Step 6: Final answer
    x = 1,097.99

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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.