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Finding the Fourth Proportional to 1,620.63, 2,431.26 and 798.84

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Solution

The fourth proportional to 1,620.63, 2,431.26 and 798.84 is: 1,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.63 : 2,431.26 = 798.84 : x
  2. Step 2: Convert to fraction form
    1,620.63/2,431.26 = 798.84/x
  3. Step 3: Cross multiply
    1,620.63x = 2,431.26 × 798.84
  4. Step 4: Simplify right side
    1,620.63x = 1,942,187.74
  5. Step 5: Solve for x
    x = 1,942,187.74/1,620.63
  6. Step 6: Final answer
    x = 1,198.42

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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.