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Finding the Fourth Proportional to 2,144.12, 3,216.17 and 683.39

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Solution

The fourth proportional to 2,144.12, 3,216.17 and 683.39 is: 1,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.12 : 3,216.17 = 683.39 : x
  2. Step 2: Convert to fraction form
    2,144.12/3,216.17 = 683.39/x
  3. Step 3: Cross multiply
    2,144.12x = 3,216.17 × 683.39
  4. Step 4: Simplify right side
    2,144.12x = 2,197,908.17
  5. Step 5: Solve for x
    x = 2,197,908.17/2,144.12
  6. Step 6: Final answer
    x = 1,025.09

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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.