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Finding the Fourth Proportional to 2,283.62, 3,420.83 and 1,049.31

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Solution

The fourth proportional to 2,283.62, 3,420.83 and 1,049.31 is: 1,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.62 : 3,420.83 = 1,049.31 : x
  2. Step 2: Convert to fraction form
    2,283.62/3,420.83 = 1,049.31/x
  3. Step 3: Cross multiply
    2,283.62x = 3,420.83 × 1,049.31
  4. Step 4: Simplify right side
    2,283.62x = 3,589,505.88
  5. Step 5: Solve for x
    x = 3,589,505.88/2,283.62
  6. Step 6: Final answer
    x = 1,571.85

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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.