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Finding the Fourth Proportional to 2,382.11, 3,573.13 and 650.73

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Solution

The fourth proportional to 2,382.11, 3,573.13 and 650.73 is: 976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.11 : 3,573.13 = 650.73 : x
  2. Step 2: Convert to fraction form
    2,382.11/3,573.13 = 650.73/x
  3. Step 3: Cross multiply
    2,382.11x = 3,573.13 × 650.73
  4. Step 4: Simplify right side
    2,382.11x = 2,325,142.88
  5. Step 5: Solve for x
    x = 2,325,142.88/2,382.11
  6. Step 6: Final answer
    x = 976.09

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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.