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Finding the Fourth Proportional to 2,305.79, 3,181.98 and 1,311.06

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Solution

The fourth proportional to 2,305.79, 3,181.98 and 1,311.06 is: 1,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.79 : 3,181.98 = 1,311.06 : x
  2. Step 2: Convert to fraction form
    2,305.79/3,181.98 = 1,311.06/x
  3. Step 3: Cross multiply
    2,305.79x = 3,181.98 × 1,311.06
  4. Step 4: Simplify right side
    2,305.79x = 4,171,766.70
  5. Step 5: Solve for x
    x = 4,171,766.70/2,305.79
  6. Step 6: Final answer
    x = 1,809.26

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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.