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Finding the Fourth Proportional to 2,172.77, 3,257.94 and 711.80

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Solution

The fourth proportional to 2,172.77, 3,257.94 and 711.80 is: 1,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.77 : 3,257.94 = 711.80 : x
  2. Step 2: Convert to fraction form
    2,172.77/3,257.94 = 711.80/x
  3. Step 3: Cross multiply
    2,172.77x = 3,257.94 × 711.80
  4. Step 4: Simplify right side
    2,172.77x = 2,318,996.28
  5. Step 5: Solve for x
    x = 2,318,996.28/2,172.77
  6. Step 6: Final answer
    x = 1,067.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.