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Finding the Fourth Proportional to 3,431.94, 5,148.52 and 1,243.73

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Solution

The fourth proportional to 3,431.94, 5,148.52 and 1,243.73 is: 1,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.94 : 5,148.52 = 1,243.73 : x
  2. Step 2: Convert to fraction form
    3,431.94/5,148.52 = 1,243.73/x
  3. Step 3: Cross multiply
    3,431.94x = 5,148.52 × 1,243.73
  4. Step 4: Simplify right side
    3,431.94x = 6,403,339.93
  5. Step 5: Solve for x
    x = 6,403,339.93/3,431.94
  6. Step 6: Final answer
    x = 1,865.81

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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.