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Finding the Fourth Proportional to 2,732.53, 4,097.28 and 1,171.55

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Solution

The fourth proportional to 2,732.53, 4,097.28 and 1,171.55 is: 1,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.53 : 4,097.28 = 1,171.55 : x
  2. Step 2: Convert to fraction form
    2,732.53/4,097.28 = 1,171.55/x
  3. Step 3: Cross multiply
    2,732.53x = 4,097.28 × 1,171.55
  4. Step 4: Simplify right side
    2,732.53x = 4,800,168.38
  5. Step 5: Solve for x
    x = 4,800,168.38/2,732.53
  6. Step 6: Final answer
    x = 1,756.68

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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.