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Finding the Fourth Proportional to 2,620.27, 3,930.40 and 976.43

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Solution

The fourth proportional to 2,620.27, 3,930.40 and 976.43 is: 1,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.27 : 3,930.40 = 976.43 : x
  2. Step 2: Convert to fraction form
    2,620.27/3,930.40 = 976.43/x
  3. Step 3: Cross multiply
    2,620.27x = 3,930.40 × 976.43
  4. Step 4: Simplify right side
    2,620.27x = 3,837,757.72
  5. Step 5: Solve for x
    x = 3,837,757.72/2,620.27
  6. Step 6: Final answer
    x = 1,464.64

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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.