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Finding the Fourth Proportional to 2,163.70, 3,246.31 and 683.15

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Solution

The fourth proportional to 2,163.70, 3,246.31 and 683.15 is: 1,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.70 : 3,246.31 = 683.15 : x
  2. Step 2: Convert to fraction form
    2,163.70/3,246.31 = 683.15/x
  3. Step 3: Cross multiply
    2,163.70x = 3,246.31 × 683.15
  4. Step 4: Simplify right side
    2,163.70x = 2,217,723.08
  5. Step 5: Solve for x
    x = 2,217,723.08/2,163.70
  6. Step 6: Final answer
    x = 1,024.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.