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Finding the Fourth Proportional to 2,620.23, 3,930.27 and 645.87

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Solution

The fourth proportional to 2,620.23, 3,930.27 and 645.87 is: 968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.23 : 3,930.27 = 645.87 : x
  2. Step 2: Convert to fraction form
    2,620.23/3,930.27 = 645.87/x
  3. Step 3: Cross multiply
    2,620.23x = 3,930.27 × 645.87
  4. Step 4: Simplify right side
    2,620.23x = 2,538,443.48
  5. Step 5: Solve for x
    x = 2,538,443.48/2,620.23
  6. Step 6: Final answer
    x = 968.79

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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.