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Finding the Fourth Proportional to 1,994.86, 2,743.77 and 1,601.02

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Solution

The fourth proportional to 1,994.86, 2,743.77 and 1,601.02 is: 2,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.86 : 2,743.77 = 1,601.02 : x
  2. Step 2: Convert to fraction form
    1,994.86/2,743.77 = 1,601.02/x
  3. Step 3: Cross multiply
    1,994.86x = 2,743.77 × 1,601.02
  4. Step 4: Simplify right side
    1,994.86x = 4,392,830.65
  5. Step 5: Solve for x
    x = 4,392,830.65/1,994.86
  6. Step 6: Final answer
    x = 2,202.07

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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.