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Finding the Fourth Proportional to 2,216.82, 3,325.23 and 900.61

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Solution

The fourth proportional to 2,216.82, 3,325.23 and 900.61 is: 1,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.82 : 3,325.23 = 900.61 : x
  2. Step 2: Convert to fraction form
    2,216.82/3,325.23 = 900.61/x
  3. Step 3: Cross multiply
    2,216.82x = 3,325.23 × 900.61
  4. Step 4: Simplify right side
    2,216.82x = 2,994,735.39
  5. Step 5: Solve for x
    x = 2,994,735.39/2,216.82
  6. Step 6: Final answer
    x = 1,350.92

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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.