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Finding the Fourth Proportional to 3,269.62, 4,902.89 and 1,188.15

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Solution

The fourth proportional to 3,269.62, 4,902.89 and 1,188.15 is: 1,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.62 : 4,902.89 = 1,188.15 : x
  2. Step 2: Convert to fraction form
    3,269.62/4,902.89 = 1,188.15/x
  3. Step 3: Cross multiply
    3,269.62x = 4,902.89 × 1,188.15
  4. Step 4: Simplify right side
    3,269.62x = 5,825,387.88
  5. Step 5: Solve for x
    x = 5,825,387.88/3,269.62
  6. Step 6: Final answer
    x = 1,781.67

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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.