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Finding the Fourth Proportional to 2,230.96, 3,078.55 and 1,236.21

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Solution

The fourth proportional to 2,230.96, 3,078.55 and 1,236.21 is: 1,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.96 : 3,078.55 = 1,236.21 : x
  2. Step 2: Convert to fraction form
    2,230.96/3,078.55 = 1,236.21/x
  3. Step 3: Cross multiply
    2,230.96x = 3,078.55 × 1,236.21
  4. Step 4: Simplify right side
    2,230.96x = 3,805,750.27
  5. Step 5: Solve for x
    x = 3,805,750.27/2,230.96
  6. Step 6: Final answer
    x = 1,705.88

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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.