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Finding the Fourth Proportional to 1,990.22, 2,745.18 and 1,516.38

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Solution

The fourth proportional to 1,990.22, 2,745.18 and 1,516.38 is: 2,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.22 : 2,745.18 = 1,516.38 : x
  2. Step 2: Convert to fraction form
    1,990.22/2,745.18 = 1,516.38/x
  3. Step 3: Cross multiply
    1,990.22x = 2,745.18 × 1,516.38
  4. Step 4: Simplify right side
    1,990.22x = 4,162,736.05
  5. Step 5: Solve for x
    x = 4,162,736.05/1,990.22
  6. Step 6: Final answer
    x = 2,091.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.