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Finding the Fourth Proportional to 2,699.73, 4,049.60 and 851.02

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Solution

The fourth proportional to 2,699.73, 4,049.60 and 851.02 is: 1,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.73 : 4,049.60 = 851.02 : x
  2. Step 2: Convert to fraction form
    2,699.73/4,049.60 = 851.02/x
  3. Step 3: Cross multiply
    2,699.73x = 4,049.60 × 851.02
  4. Step 4: Simplify right side
    2,699.73x = 3,446,276.21
  5. Step 5: Solve for x
    x = 3,446,276.21/2,699.73
  6. Step 6: Final answer
    x = 1,276.53

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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.