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Finding the Fourth Proportional to 3,180.86, 4,769.84 and 2,069.18

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Solution

The fourth proportional to 3,180.86, 4,769.84 and 2,069.18 is: 3,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.86 : 4,769.84 = 2,069.18 : x
  2. Step 2: Convert to fraction form
    3,180.86/4,769.84 = 2,069.18/x
  3. Step 3: Cross multiply
    3,180.86x = 4,769.84 × 2,069.18
  4. Step 4: Simplify right side
    3,180.86x = 9,869,657.53
  5. Step 5: Solve for x
    x = 9,869,657.53/3,180.86
  6. Step 6: Final answer
    x = 3,102.83

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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.