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Finding the Fourth Proportional to 2,382.27, 3,573.41 and 650.90

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Solution

The fourth proportional to 2,382.27, 3,573.41 and 650.90 is: 976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.27 : 3,573.41 = 650.90 : x
  2. Step 2: Convert to fraction form
    2,382.27/3,573.41 = 650.90/x
  3. Step 3: Cross multiply
    2,382.27x = 3,573.41 × 650.90
  4. Step 4: Simplify right side
    2,382.27x = 2,325,932.57
  5. Step 5: Solve for x
    x = 2,325,932.57/2,382.27
  6. Step 6: Final answer
    x = 976.35

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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.