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Finding the Fourth Proportional to 2,305.97, 3,181.87 and 1,422.05

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Solution

The fourth proportional to 2,305.97, 3,181.87 and 1,422.05 is: 1,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.97 : 3,181.87 = 1,422.05 : x
  2. Step 2: Convert to fraction form
    2,305.97/3,181.87 = 1,422.05/x
  3. Step 3: Cross multiply
    2,305.97x = 3,181.87 × 1,422.05
  4. Step 4: Simplify right side
    2,305.97x = 4,524,771.12
  5. Step 5: Solve for x
    x = 4,524,771.12/2,305.97
  6. Step 6: Final answer
    x = 1,962.20

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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.