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Finding the Fourth Proportional to 2,382.14, 3,573.23 and 650.76

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Solution

The fourth proportional to 2,382.14, 3,573.23 and 650.76 is: 976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.14 : 3,573.23 = 650.76 : x
  2. Step 2: Convert to fraction form
    2,382.14/3,573.23 = 650.76/x
  3. Step 3: Cross multiply
    2,382.14x = 3,573.23 × 650.76
  4. Step 4: Simplify right side
    2,382.14x = 2,325,311.90
  5. Step 5: Solve for x
    x = 2,325,311.90/2,382.14
  6. Step 6: Final answer
    x = 976.15

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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.