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Finding the Fourth Proportional to 2,109.72, 3,165.75 and 793.41

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Solution

The fourth proportional to 2,109.72, 3,165.75 and 793.41 is: 1,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.72 : 3,165.75 = 793.41 : x
  2. Step 2: Convert to fraction form
    2,109.72/3,165.75 = 793.41/x
  3. Step 3: Cross multiply
    2,109.72x = 3,165.75 × 793.41
  4. Step 4: Simplify right side
    2,109.72x = 2,511,733.74
  5. Step 5: Solve for x
    x = 2,511,733.74/2,109.72
  6. Step 6: Final answer
    x = 1,190.55

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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.