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Finding the Fourth Proportional to 2,144.27, 3,215.60 and 682.63

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Solution

The fourth proportional to 2,144.27, 3,215.60 and 682.63 is: 1,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.27 : 3,215.60 = 682.63 : x
  2. Step 2: Convert to fraction form
    2,144.27/3,215.60 = 682.63/x
  3. Step 3: Cross multiply
    2,144.27x = 3,215.60 × 682.63
  4. Step 4: Simplify right side
    2,144.27x = 2,195,056.14
  5. Step 5: Solve for x
    x = 2,195,056.14/2,144.27
  6. Step 6: Final answer
    x = 1,023.68

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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.