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Finding the Fourth Proportional to 2,230.68, 3,078.22 and 1,286.63

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Solution

The fourth proportional to 2,230.68, 3,078.22 and 1,286.63 is: 1,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.68 : 3,078.22 = 1,286.63 : x
  2. Step 2: Convert to fraction form
    2,230.68/3,078.22 = 1,286.63/x
  3. Step 3: Cross multiply
    2,230.68x = 3,078.22 × 1,286.63
  4. Step 4: Simplify right side
    2,230.68x = 3,960,530.20
  5. Step 5: Solve for x
    x = 3,960,530.20/2,230.68
  6. Step 6: Final answer
    x = 1,775.48

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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.