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Finding the Fourth Proportional to 2,062.27, 3,093.95 and 1,137.67

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Solution

The fourth proportional to 2,062.27, 3,093.95 and 1,137.67 is: 1,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.27 : 3,093.95 = 1,137.67 : x
  2. Step 2: Convert to fraction form
    2,062.27/3,093.95 = 1,137.67/x
  3. Step 3: Cross multiply
    2,062.27x = 3,093.95 × 1,137.67
  4. Step 4: Simplify right side
    2,062.27x = 3,519,894.10
  5. Step 5: Solve for x
    x = 3,519,894.10/2,062.27
  6. Step 6: Final answer
    x = 1,706.81

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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.