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Finding the Fourth Proportional to 2,382.21, 3,573.27 and 650.79

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Solution

The fourth proportional to 2,382.21, 3,573.27 and 650.79 is: 976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.21 : 3,573.27 = 650.79 : x
  2. Step 2: Convert to fraction form
    2,382.21/3,573.27 = 650.79/x
  3. Step 3: Cross multiply
    2,382.21x = 3,573.27 × 650.79
  4. Step 4: Simplify right side
    2,382.21x = 2,325,448.38
  5. Step 5: Solve for x
    x = 2,325,448.38/2,382.21
  6. Step 6: Final answer
    x = 976.17

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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.