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Finding the Fourth Proportional to 3,231.64, 4,843.54 and 1,474.23

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Solution

The fourth proportional to 3,231.64, 4,843.54 and 1,474.23 is: 2,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.64 : 4,843.54 = 1,474.23 : x
  2. Step 2: Convert to fraction form
    3,231.64/4,843.54 = 1,474.23/x
  3. Step 3: Cross multiply
    3,231.64x = 4,843.54 × 1,474.23
  4. Step 4: Simplify right side
    3,231.64x = 7,140,484.60
  5. Step 5: Solve for x
    x = 7,140,484.60/3,231.64
  6. Step 6: Final answer
    x = 2,209.56

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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.