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Finding the Fourth Proportional to 2,758.38, 4,137.77 and 1,027

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Solution

The fourth proportional to 2,758.38, 4,137.77 and 1,027 is: 1,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.38 : 4,137.77 = 1,027 : x
  2. Step 2: Convert to fraction form
    2,758.38/4,137.77 = 1,027/x
  3. Step 3: Cross multiply
    2,758.38x = 4,137.77 × 1,027
  4. Step 4: Simplify right side
    2,758.38x = 4,249,489.79
  5. Step 5: Solve for x
    x = 4,249,489.79/2,758.38
  6. Step 6: Final answer
    x = 1,540.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.