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Finding the Fourth Proportional to 3,231.73, 4,846.78 and 1,256.68

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Solution

The fourth proportional to 3,231.73, 4,846.78 and 1,256.68 is: 1,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.73 : 4,846.78 = 1,256.68 : x
  2. Step 2: Convert to fraction form
    3,231.73/4,846.78 = 1,256.68/x
  3. Step 3: Cross multiply
    3,231.73x = 4,846.78 × 1,256.68
  4. Step 4: Simplify right side
    3,231.73x = 6,090,851.49
  5. Step 5: Solve for x
    x = 6,090,851.49/3,231.73
  6. Step 6: Final answer
    x = 1,884.70

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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.