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Finding the Fourth Proportional to 2,650.63, 3,975.96 and 801.76

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Solution

The fourth proportional to 2,650.63, 3,975.96 and 801.76 is: 1,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.63 : 3,975.96 = 801.76 : x
  2. Step 2: Convert to fraction form
    2,650.63/3,975.96 = 801.76/x
  3. Step 3: Cross multiply
    2,650.63x = 3,975.96 × 801.76
  4. Step 4: Simplify right side
    2,650.63x = 3,187,755.75
  5. Step 5: Solve for x
    x = 3,187,755.75/2,650.63
  6. Step 6: Final answer
    x = 1,202.64

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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.