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Finding the Fourth Proportional to 3,093, 4,627.85 and 2,170.38

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Solution

The fourth proportional to 3,093, 4,627.85 and 2,170.38 is: 3,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093 : 4,627.85 = 2,170.38 : x
  2. Step 2: Convert to fraction form
    3,093/4,627.85 = 2,170.38/x
  3. Step 3: Cross multiply
    3,093x = 4,627.85 × 2,170.38
  4. Step 4: Simplify right side
    3,093x = 10,044,182.23
  5. Step 5: Solve for x
    x = 10,044,182.23/3,093
  6. Step 6: Final answer
    x = 3,247.39

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