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Finding the Fourth Proportional to 2,172.14, 3,257.91 and 611.98

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Solution

The fourth proportional to 2,172.14, 3,257.91 and 611.98 is: 917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.14 : 3,257.91 = 611.98 : x
  2. Step 2: Convert to fraction form
    2,172.14/3,257.91 = 611.98/x
  3. Step 3: Cross multiply
    2,172.14x = 3,257.91 × 611.98
  4. Step 4: Simplify right side
    2,172.14x = 1,993,782.13
  5. Step 5: Solve for x
    x = 1,993,782.13/2,172.14
  6. Step 6: Final answer
    x = 917.89

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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.