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Finding the Fourth Proportional to 2,729.44, 4,097.80 and 1,620.92

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Solution

The fourth proportional to 2,729.44, 4,097.80 and 1,620.92 is: 2,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.44 : 4,097.80 = 1,620.92 : x
  2. Step 2: Convert to fraction form
    2,729.44/4,097.80 = 1,620.92/x
  3. Step 3: Cross multiply
    2,729.44x = 4,097.80 × 1,620.92
  4. Step 4: Simplify right side
    2,729.44x = 6,642,205.98
  5. Step 5: Solve for x
    x = 6,642,205.98/2,729.44
  6. Step 6: Final answer
    x = 2,433.54

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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.