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Finding the Fourth Proportional to 2,144.17, 3,216.05 and 683.07

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Solution

The fourth proportional to 2,144.17, 3,216.05 and 683.07 is: 1,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.17 : 3,216.05 = 683.07 : x
  2. Step 2: Convert to fraction form
    2,144.17/3,216.05 = 683.07/x
  3. Step 3: Cross multiply
    2,144.17x = 3,216.05 × 683.07
  4. Step 4: Simplify right side
    2,144.17x = 2,196,787.27
  5. Step 5: Solve for x
    x = 2,196,787.27/2,144.17
  6. Step 6: Final answer
    x = 1,024.54

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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.