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Finding the Fourth Proportional to 3,172.14, 4,379.20 and 1,977.48

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Solution

The fourth proportional to 3,172.14, 4,379.20 and 1,977.48 is: 2,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.14 : 4,379.20 = 1,977.48 : x
  2. Step 2: Convert to fraction form
    3,172.14/4,379.20 = 1,977.48/x
  3. Step 3: Cross multiply
    3,172.14x = 4,379.20 × 1,977.48
  4. Step 4: Simplify right side
    3,172.14x = 8,659,775.47
  5. Step 5: Solve for x
    x = 8,659,775.47/3,172.14
  6. Step 6: Final answer
    x = 2,729.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.