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Finding the Fourth Proportional to 2,144.94, 3,214.63 and 2,121.72

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Solution

The fourth proportional to 2,144.94, 3,214.63 and 2,121.72 is: 3,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.94 : 3,214.63 = 2,121.72 : x
  2. Step 2: Convert to fraction form
    2,144.94/3,214.63 = 2,121.72/x
  3. Step 3: Cross multiply
    2,144.94x = 3,214.63 × 2,121.72
  4. Step 4: Simplify right side
    2,144.94x = 6,820,544.76
  5. Step 5: Solve for x
    x = 6,820,544.76/2,144.94
  6. Step 6: Final answer
    x = 3,179.83

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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.