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Finding the Fourth Proportional to 2,143.13, 3,214.74 and 682.27

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Solution

The fourth proportional to 2,143.13, 3,214.74 and 682.27 is: 1,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.13 : 3,214.74 = 682.27 : x
  2. Step 2: Convert to fraction form
    2,143.13/3,214.74 = 682.27/x
  3. Step 3: Cross multiply
    2,143.13x = 3,214.74 × 682.27
  4. Step 4: Simplify right side
    2,143.13x = 2,193,329.43
  5. Step 5: Solve for x
    x = 2,193,329.43/2,143.13
  6. Step 6: Final answer
    x = 1,023.43

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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.