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Finding the Fourth Proportional to 2,812.74, 3,880.35 and 2,183.46

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Solution

The fourth proportional to 2,812.74, 3,880.35 and 2,183.46 is: 3,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.74 : 3,880.35 = 2,183.46 : x
  2. Step 2: Convert to fraction form
    2,812.74/3,880.35 = 2,183.46/x
  3. Step 3: Cross multiply
    2,812.74x = 3,880.35 × 2,183.46
  4. Step 4: Simplify right side
    2,812.74x = 8,472,589.01
  5. Step 5: Solve for x
    x = 8,472,589.01/2,812.74
  6. Step 6: Final answer
    x = 3,012.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.