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Finding the Fourth Proportional to 2,993.93, 4,486.78 and 1,896.32

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Solution

The fourth proportional to 2,993.93, 4,486.78 and 1,896.32 is: 2,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.93 : 4,486.78 = 1,896.32 : x
  2. Step 2: Convert to fraction form
    2,993.93/4,486.78 = 1,896.32/x
  3. Step 3: Cross multiply
    2,993.93x = 4,486.78 × 1,896.32
  4. Step 4: Simplify right side
    2,993.93x = 8,508,338.73
  5. Step 5: Solve for x
    x = 8,508,338.73/2,993.93
  6. Step 6: Final answer
    x = 2,841.87

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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.