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Finding the Fourth Proportional to 3,184.21, 4,769.83 and 1,447.57

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Solution

The fourth proportional to 3,184.21, 4,769.83 and 1,447.57 is: 2,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.21 : 4,769.83 = 1,447.57 : x
  2. Step 2: Convert to fraction form
    3,184.21/4,769.83 = 1,447.57/x
  3. Step 3: Cross multiply
    3,184.21x = 4,769.83 × 1,447.57
  4. Step 4: Simplify right side
    3,184.21x = 6,904,662.81
  5. Step 5: Solve for x
    x = 6,904,662.81/3,184.21
  6. Step 6: Final answer
    x = 2,168.41

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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.