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Finding the Fourth Proportional to 2,702, 4,054.62 and 1,163

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Solution

The fourth proportional to 2,702, 4,054.62 and 1,163 is: 1,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702 : 4,054.62 = 1,163 : x
  2. Step 2: Convert to fraction form
    2,702/4,054.62 = 1,163/x
  3. Step 3: Cross multiply
    2,702x = 4,054.62 × 1,163
  4. Step 4: Simplify right side
    2,702x = 4,715,523.06
  5. Step 5: Solve for x
    x = 4,715,523.06/2,702
  6. Step 6: Final answer
    x = 1,745.20

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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.