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Finding the Fourth Proportional to 3,243.26, 4,474.88 and 1,983.86

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Solution

The fourth proportional to 3,243.26, 4,474.88 and 1,983.86 is: 2,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.26 : 4,474.88 = 1,983.86 : x
  2. Step 2: Convert to fraction form
    3,243.26/4,474.88 = 1,983.86/x
  3. Step 3: Cross multiply
    3,243.26x = 4,474.88 × 1,983.86
  4. Step 4: Simplify right side
    3,243.26x = 8,877,503.14
  5. Step 5: Solve for x
    x = 8,877,503.14/3,243.26
  6. Step 6: Final answer
    x = 2,737.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.