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Finding the Fourth Proportional to 2,633.86, 3,951.37 and 990.41

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Solution

The fourth proportional to 2,633.86, 3,951.37 and 990.41 is: 1,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.86 : 3,951.37 = 990.41 : x
  2. Step 2: Convert to fraction form
    2,633.86/3,951.37 = 990.41/x
  3. Step 3: Cross multiply
    2,633.86x = 3,951.37 × 990.41
  4. Step 4: Simplify right side
    2,633.86x = 3,913,469.88
  5. Step 5: Solve for x
    x = 3,913,469.88/2,633.86
  6. Step 6: Final answer
    x = 1,485.83

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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.