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Finding the Fourth Proportional to 2,181.93, 3,268.59 and 1,082.94

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Solution

The fourth proportional to 2,181.93, 3,268.59 and 1,082.94 is: 1,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.93 : 3,268.59 = 1,082.94 : x
  2. Step 2: Convert to fraction form
    2,181.93/3,268.59 = 1,082.94/x
  3. Step 3: Cross multiply
    2,181.93x = 3,268.59 × 1,082.94
  4. Step 4: Simplify right side
    2,181.93x = 3,539,686.85
  5. Step 5: Solve for x
    x = 3,539,686.85/2,181.93
  6. Step 6: Final answer
    x = 1,622.27

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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.