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Finding the Fourth Proportional to 2,305.72, 3,181.84 and 1,311.04

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Solution

The fourth proportional to 2,305.72, 3,181.84 and 1,311.04 is: 1,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.72 : 3,181.84 = 1,311.04 : x
  2. Step 2: Convert to fraction form
    2,305.72/3,181.84 = 1,311.04/x
  3. Step 3: Cross multiply
    2,305.72x = 3,181.84 × 1,311.04
  4. Step 4: Simplify right side
    2,305.72x = 4,171,519.51
  5. Step 5: Solve for x
    x = 4,171,519.51/2,305.72
  6. Step 6: Final answer
    x = 1,809.20

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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.