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Finding the Fourth Proportional to 3,178.36, 4,759.03 and 1,861.03

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Solution

The fourth proportional to 3,178.36, 4,759.03 and 1,861.03 is: 2,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.36 : 4,759.03 = 1,861.03 : x
  2. Step 2: Convert to fraction form
    3,178.36/4,759.03 = 1,861.03/x
  3. Step 3: Cross multiply
    3,178.36x = 4,759.03 × 1,861.03
  4. Step 4: Simplify right side
    3,178.36x = 8,856,697.60
  5. Step 5: Solve for x
    x = 8,856,697.60/3,178.36
  6. Step 6: Final answer
    x = 2,786.56

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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.