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Finding the Fourth Proportional to 2,179.62, 3,269.97 and 946.71

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Solution

The fourth proportional to 2,179.62, 3,269.97 and 946.71 is: 1,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.62 : 3,269.97 = 946.71 : x
  2. Step 2: Convert to fraction form
    2,179.62/3,269.97 = 946.71/x
  3. Step 3: Cross multiply
    2,179.62x = 3,269.97 × 946.71
  4. Step 4: Simplify right side
    2,179.62x = 3,095,713.30
  5. Step 5: Solve for x
    x = 3,095,713.30/2,179.62
  6. Step 6: Final answer
    x = 1,420.30

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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.