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Finding the Fourth Proportional to 2,172.40, 3,257.80 and 711.60

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Solution

The fourth proportional to 2,172.40, 3,257.80 and 711.60 is: 1,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.40 : 3,257.80 = 711.60 : x
  2. Step 2: Convert to fraction form
    2,172.40/3,257.80 = 711.60/x
  3. Step 3: Cross multiply
    2,172.40x = 3,257.80 × 711.60
  4. Step 4: Simplify right side
    2,172.40x = 2,318,250.48
  5. Step 5: Solve for x
    x = 2,318,250.48/2,172.40
  6. Step 6: Final answer
    x = 1,067.14

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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.