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Finding the Fourth Proportional to 3,149.53, 4,724.26 and 1,201.72

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Solution

The fourth proportional to 3,149.53, 4,724.26 and 1,201.72 is: 1,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.53 : 4,724.26 = 1,201.72 : x
  2. Step 2: Convert to fraction form
    3,149.53/4,724.26 = 1,201.72/x
  3. Step 3: Cross multiply
    3,149.53x = 4,724.26 × 1,201.72
  4. Step 4: Simplify right side
    3,149.53x = 5,677,237.73
  5. Step 5: Solve for x
    x = 5,677,237.73/3,149.53
  6. Step 6: Final answer
    x = 1,802.57

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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.