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Finding the Fourth Proportional to 3,141.37, 4,706.60 and 1,906.18

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Solution

The fourth proportional to 3,141.37, 4,706.60 and 1,906.18 is: 2,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.37 : 4,706.60 = 1,906.18 : x
  2. Step 2: Convert to fraction form
    3,141.37/4,706.60 = 1,906.18/x
  3. Step 3: Cross multiply
    3,141.37x = 4,706.60 × 1,906.18
  4. Step 4: Simplify right side
    3,141.37x = 8,971,626.79
  5. Step 5: Solve for x
    x = 8,971,626.79/3,141.37
  6. Step 6: Final answer
    x = 2,855.96

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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.