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Finding the Fourth Proportional to 3,256.31, 4,884.39 and 791.14

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Solution

The fourth proportional to 3,256.31, 4,884.39 and 791.14 is: 1,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.31 : 4,884.39 = 791.14 : x
  2. Step 2: Convert to fraction form
    3,256.31/4,884.39 = 791.14/x
  3. Step 3: Cross multiply
    3,256.31x = 4,884.39 × 791.14
  4. Step 4: Simplify right side
    3,256.31x = 3,864,222.12
  5. Step 5: Solve for x
    x = 3,864,222.12/3,256.31
  6. Step 6: Final answer
    x = 1,186.69

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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.