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Finding the Fourth Proportional to 2,143.32, 3,215.60 and 682.56

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Solution

The fourth proportional to 2,143.32, 3,215.60 and 682.56 is: 1,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.32 : 3,215.60 = 682.56 : x
  2. Step 2: Convert to fraction form
    2,143.32/3,215.60 = 682.56/x
  3. Step 3: Cross multiply
    2,143.32x = 3,215.60 × 682.56
  4. Step 4: Simplify right side
    2,143.32x = 2,194,839.94
  5. Step 5: Solve for x
    x = 2,194,839.94/2,143.32
  6. Step 6: Final answer
    x = 1,024.04

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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.