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Finding the Fourth Proportional to 2,382.08, 3,573.01 and 650.71

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Solution

The fourth proportional to 2,382.08, 3,573.01 and 650.71 is: 976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.08 : 3,573.01 = 650.71 : x
  2. Step 2: Convert to fraction form
    2,382.08/3,573.01 = 650.71/x
  3. Step 3: Cross multiply
    2,382.08x = 3,573.01 × 650.71
  4. Step 4: Simplify right side
    2,382.08x = 2,324,993.34
  5. Step 5: Solve for x
    x = 2,324,993.34/2,382.08
  6. Step 6: Final answer
    x = 976.03

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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.