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Finding the Fourth Proportional to 2,183.69, 3,274.63 and 2,074.34

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Solution

The fourth proportional to 2,183.69, 3,274.63 and 2,074.34 is: 3,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.69 : 3,274.63 = 2,074.34 : x
  2. Step 2: Convert to fraction form
    2,183.69/3,274.63 = 2,074.34/x
  3. Step 3: Cross multiply
    2,183.69x = 3,274.63 × 2,074.34
  4. Step 4: Simplify right side
    2,183.69x = 6,792,698.99
  5. Step 5: Solve for x
    x = 6,792,698.99/2,183.69
  6. Step 6: Final answer
    x = 3,110.65

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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.