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Finding the Fourth Proportional to 3,173.38, 4,762.22 and 1,121.38

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Solution

The fourth proportional to 3,173.38, 4,762.22 and 1,121.38 is: 1,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.38 : 4,762.22 = 1,121.38 : x
  2. Step 2: Convert to fraction form
    3,173.38/4,762.22 = 1,121.38/x
  3. Step 3: Cross multiply
    3,173.38x = 4,762.22 × 1,121.38
  4. Step 4: Simplify right side
    3,173.38x = 5,340,258.26
  5. Step 5: Solve for x
    x = 5,340,258.26/3,173.38
  6. Step 6: Final answer
    x = 1,682.83

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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.