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Finding the Fourth Proportional to 3,232.46, 4,461.06 and 1,906.42

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Solution

The fourth proportional to 3,232.46, 4,461.06 and 1,906.42 is: 2,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.46 : 4,461.06 = 1,906.42 : x
  2. Step 2: Convert to fraction form
    3,232.46/4,461.06 = 1,906.42/x
  3. Step 3: Cross multiply
    3,232.46x = 4,461.06 × 1,906.42
  4. Step 4: Simplify right side
    3,232.46x = 8,504,654.01
  5. Step 5: Solve for x
    x = 8,504,654.01/3,232.46
  6. Step 6: Final answer
    x = 2,631.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.