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Finding the Fourth Proportional to 2,091.71, 3,137.67 and 793.28

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Solution

The fourth proportional to 2,091.71, 3,137.67 and 793.28 is: 1,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.71 : 3,137.67 = 793.28 : x
  2. Step 2: Convert to fraction form
    2,091.71/3,137.67 = 793.28/x
  3. Step 3: Cross multiply
    2,091.71x = 3,137.67 × 793.28
  4. Step 4: Simplify right side
    2,091.71x = 2,489,050.86
  5. Step 5: Solve for x
    x = 2,489,050.86/2,091.71
  6. Step 6: Final answer
    x = 1,189.96

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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.