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Finding the Fourth Proportional to 2,143.94, 3,213.14 and 2,120.72

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Solution

The fourth proportional to 2,143.94, 3,213.14 and 2,120.72 is: 3,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.94 : 3,213.14 = 2,120.72 : x
  2. Step 2: Convert to fraction form
    2,143.94/3,213.14 = 2,120.72/x
  3. Step 3: Cross multiply
    2,143.94x = 3,213.14 × 2,120.72
  4. Step 4: Simplify right side
    2,143.94x = 6,814,143.59
  5. Step 5: Solve for x
    x = 6,814,143.59/2,143.94
  6. Step 6: Final answer
    x = 3,178.33

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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.