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Finding the Fourth Proportional to 2,143.30, 3,214.26 and 682.11

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Solution

The fourth proportional to 2,143.30, 3,214.26 and 682.11 is: 1,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.30 : 3,214.26 = 682.11 : x
  2. Step 2: Convert to fraction form
    2,143.30/3,214.26 = 682.11/x
  3. Step 3: Cross multiply
    2,143.30x = 3,214.26 × 682.11
  4. Step 4: Simplify right side
    2,143.30x = 2,192,478.89
  5. Step 5: Solve for x
    x = 2,192,478.89/2,143.30
  6. Step 6: Final answer
    x = 1,022.95

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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.