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Finding the Fourth Proportional to 2,144.62, 3,213 and 1,800.16

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Solution

The fourth proportional to 2,144.62, 3,213 and 1,800.16 is: 2,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.62 : 3,213 = 1,800.16 : x
  2. Step 2: Convert to fraction form
    2,144.62/3,213 = 1,800.16/x
  3. Step 3: Cross multiply
    2,144.62x = 3,213 × 1,800.16
  4. Step 4: Simplify right side
    2,144.62x = 5,783,914.08
  5. Step 5: Solve for x
    x = 5,783,914.08/2,144.62
  6. Step 6: Final answer
    x = 2,696.94

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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.