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Finding the Fourth Proportional to 2,143.20, 3,215.40 and 682.56

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Solution

The fourth proportional to 2,143.20, 3,215.40 and 682.56 is: 1,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.20 : 3,215.40 = 682.56 : x
  2. Step 2: Convert to fraction form
    2,143.20/3,215.40 = 682.56/x
  3. Step 3: Cross multiply
    2,143.20x = 3,215.40 × 682.56
  4. Step 4: Simplify right side
    2,143.20x = 2,194,703.42
  5. Step 5: Solve for x
    x = 2,194,703.42/2,143.20
  6. Step 6: Final answer
    x = 1,024.03

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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.