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Finding the Fourth Proportional to 2,732.74, 4,099.23 and 1,173.22

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Solution

The fourth proportional to 2,732.74, 4,099.23 and 1,173.22 is: 1,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.74 : 4,099.23 = 1,173.22 : x
  2. Step 2: Convert to fraction form
    2,732.74/4,099.23 = 1,173.22/x
  3. Step 3: Cross multiply
    2,732.74x = 4,099.23 × 1,173.22
  4. Step 4: Simplify right side
    2,732.74x = 4,809,298.62
  5. Step 5: Solve for x
    x = 4,809,298.62/2,732.74
  6. Step 6: Final answer
    x = 1,759.88

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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.