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Finding the Fourth Proportional to 3,231.93, 4,847.42 and 1,040.37

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Solution

The fourth proportional to 3,231.93, 4,847.42 and 1,040.37 is: 1,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.93 : 4,847.42 = 1,040.37 : x
  2. Step 2: Convert to fraction form
    3,231.93/4,847.42 = 1,040.37/x
  3. Step 3: Cross multiply
    3,231.93x = 4,847.42 × 1,040.37
  4. Step 4: Simplify right side
    3,231.93x = 5,043,105.14
  5. Step 5: Solve for x
    x = 5,043,105.14/3,231.93
  6. Step 6: Final answer
    x = 1,560.40

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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.