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Finding the Fourth Proportional to 2,144.93, 3,217.19 and 684.09

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Solution

The fourth proportional to 2,144.93, 3,217.19 and 684.09 is: 1,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.93 : 3,217.19 = 684.09 : x
  2. Step 2: Convert to fraction form
    2,144.93/3,217.19 = 684.09/x
  3. Step 3: Cross multiply
    2,144.93x = 3,217.19 × 684.09
  4. Step 4: Simplify right side
    2,144.93x = 2,200,844.09
  5. Step 5: Solve for x
    x = 2,200,844.09/2,144.93
  6. Step 6: Final answer
    x = 1,026.07

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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.