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Finding the Fourth Proportional to 2,144.91, 3,215.31 and 683.12

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Solution

The fourth proportional to 2,144.91, 3,215.31 and 683.12 is: 1,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.91 : 3,215.31 = 683.12 : x
  2. Step 2: Convert to fraction form
    2,144.91/3,215.31 = 683.12/x
  3. Step 3: Cross multiply
    2,144.91x = 3,215.31 × 683.12
  4. Step 4: Simplify right side
    2,144.91x = 2,196,426.49
  5. Step 5: Solve for x
    x = 2,196,426.49/2,144.91
  6. Step 6: Final answer
    x = 1,024.02

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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.