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Finding the Fourth Proportional to 2,081.64, 2,873.08 and 1,198.04

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Solution

The fourth proportional to 2,081.64, 2,873.08 and 1,198.04 is: 1,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.64 : 2,873.08 = 1,198.04 : x
  2. Step 2: Convert to fraction form
    2,081.64/2,873.08 = 1,198.04/x
  3. Step 3: Cross multiply
    2,081.64x = 2,873.08 × 1,198.04
  4. Step 4: Simplify right side
    2,081.64x = 3,442,064.76
  5. Step 5: Solve for x
    x = 3,442,064.76/2,081.64
  6. Step 6: Final answer
    x = 1,653.54

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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.