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Finding the Fourth Proportional to 3,066.75, 4,600.17 and 758.25

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Solution

The fourth proportional to 3,066.75, 4,600.17 and 758.25 is: 1,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.75 : 4,600.17 = 758.25 : x
  2. Step 2: Convert to fraction form
    3,066.75/4,600.17 = 758.25/x
  3. Step 3: Cross multiply
    3,066.75x = 4,600.17 × 758.25
  4. Step 4: Simplify right side
    3,066.75x = 3,488,078.90
  5. Step 5: Solve for x
    x = 3,488,078.90/3,066.75
  6. Step 6: Final answer
    x = 1,137.39

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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.