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Finding the Fourth Proportional to 3,201.43, 4,804.31 and 1,121.46

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Solution

The fourth proportional to 3,201.43, 4,804.31 and 1,121.46 is: 1,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.43 : 4,804.31 = 1,121.46 : x
  2. Step 2: Convert to fraction form
    3,201.43/4,804.31 = 1,121.46/x
  3. Step 3: Cross multiply
    3,201.43x = 4,804.31 × 1,121.46
  4. Step 4: Simplify right side
    3,201.43x = 5,387,841.49
  5. Step 5: Solve for x
    x = 5,387,841.49/3,201.43
  6. Step 6: Final answer
    x = 1,682.95

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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.