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Finding the Fourth Proportional to 3,183.63, 4,768.95 and 1,334.01

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Solution

The fourth proportional to 3,183.63, 4,768.95 and 1,334.01 is: 1,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.63 : 4,768.95 = 1,334.01 : x
  2. Step 2: Convert to fraction form
    3,183.63/4,768.95 = 1,334.01/x
  3. Step 3: Cross multiply
    3,183.63x = 4,768.95 × 1,334.01
  4. Step 4: Simplify right side
    3,183.63x = 6,361,826.99
  5. Step 5: Solve for x
    x = 6,361,826.99/3,183.63
  6. Step 6: Final answer
    x = 1,998.29

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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.