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Finding the Fourth Proportional to 2,062.47, 3,093.74 and 1,137.85

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Solution

The fourth proportional to 2,062.47, 3,093.74 and 1,137.85 is: 1,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.47 : 3,093.74 = 1,137.85 : x
  2. Step 2: Convert to fraction form
    2,062.47/3,093.74 = 1,137.85/x
  3. Step 3: Cross multiply
    2,062.47x = 3,093.74 × 1,137.85
  4. Step 4: Simplify right side
    2,062.47x = 3,520,212.06
  5. Step 5: Solve for x
    x = 3,520,212.06/2,062.47
  6. Step 6: Final answer
    x = 1,706.79

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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.