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Finding the Fourth Proportional to 2,216.73, 3,325.07 and 677.73

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Solution

The fourth proportional to 2,216.73, 3,325.07 and 677.73 is: 1,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.73 : 3,325.07 = 677.73 : x
  2. Step 2: Convert to fraction form
    2,216.73/3,325.07 = 677.73/x
  3. Step 3: Cross multiply
    2,216.73x = 3,325.07 × 677.73
  4. Step 4: Simplify right side
    2,216.73x = 2,253,499.69
  5. Step 5: Solve for x
    x = 2,253,499.69/2,216.73
  6. Step 6: Final answer
    x = 1,016.59

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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.