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Finding the Fourth Proportional to 2,471.82, 3,406.32 and 1,843.08

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Solution

The fourth proportional to 2,471.82, 3,406.32 and 1,843.08 is: 2,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.82 : 3,406.32 = 1,843.08 : x
  2. Step 2: Convert to fraction form
    2,471.82/3,406.32 = 1,843.08/x
  3. Step 3: Cross multiply
    2,471.82x = 3,406.32 × 1,843.08
  4. Step 4: Simplify right side
    2,471.82x = 6,278,120.27
  5. Step 5: Solve for x
    x = 6,278,120.27/2,471.82
  6. Step 6: Final answer
    x = 2,539.88

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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.