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Finding the Fourth Proportional to 2,236.84, 3,086.34 and 1,305.16

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Solution

The fourth proportional to 2,236.84, 3,086.34 and 1,305.16 is: 1,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.84 : 3,086.34 = 1,305.16 : x
  2. Step 2: Convert to fraction form
    2,236.84/3,086.34 = 1,305.16/x
  3. Step 3: Cross multiply
    2,236.84x = 3,086.34 × 1,305.16
  4. Step 4: Simplify right side
    2,236.84x = 4,028,167.51
  5. Step 5: Solve for x
    x = 4,028,167.51/2,236.84
  6. Step 6: Final answer
    x = 1,800.83

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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.