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Finding the Fourth Proportional to 2,168.40, 3,245.96 and 1,191.54

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Solution

The fourth proportional to 2,168.40, 3,245.96 and 1,191.54 is: 1,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.40 : 3,245.96 = 1,191.54 : x
  2. Step 2: Convert to fraction form
    2,168.40/3,245.96 = 1,191.54/x
  3. Step 3: Cross multiply
    2,168.40x = 3,245.96 × 1,191.54
  4. Step 4: Simplify right side
    2,168.40x = 3,867,691.18
  5. Step 5: Solve for x
    x = 3,867,691.18/2,168.40
  6. Step 6: Final answer
    x = 1,783.66

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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.