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Finding the Fourth Proportional to 1,794.83, 2,477.69 and 1,198.31

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Solution

The fourth proportional to 1,794.83, 2,477.69 and 1,198.31 is: 1,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.83 : 2,477.69 = 1,198.31 : x
  2. Step 2: Convert to fraction form
    1,794.83/2,477.69 = 1,198.31/x
  3. Step 3: Cross multiply
    1,794.83x = 2,477.69 × 1,198.31
  4. Step 4: Simplify right side
    1,794.83x = 2,969,022.32
  5. Step 5: Solve for x
    x = 2,969,022.32/1,794.83
  6. Step 6: Final answer
    x = 1,654.21

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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.