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Finding the Fourth Proportional to 3,141.75, 4,706.46 and 2,154.41

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Solution

The fourth proportional to 3,141.75, 4,706.46 and 2,154.41 is: 3,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.75 : 4,706.46 = 2,154.41 : x
  2. Step 2: Convert to fraction form
    3,141.75/4,706.46 = 2,154.41/x
  3. Step 3: Cross multiply
    3,141.75x = 4,706.46 × 2,154.41
  4. Step 4: Simplify right side
    3,141.75x = 10,139,644.49
  5. Step 5: Solve for x
    x = 10,139,644.49/3,141.75
  6. Step 6: Final answer
    x = 3,227.39

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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.