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Finding the Fourth Proportional to 1,990.73, 2,738.08 and 1,596.89

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Solution

The fourth proportional to 1,990.73, 2,738.08 and 1,596.89 is: 2,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.73 : 2,738.08 = 1,596.89 : x
  2. Step 2: Convert to fraction form
    1,990.73/2,738.08 = 1,596.89/x
  3. Step 3: Cross multiply
    1,990.73x = 2,738.08 × 1,596.89
  4. Step 4: Simplify right side
    1,990.73x = 4,372,415.42
  5. Step 5: Solve for x
    x = 4,372,415.42/1,990.73
  6. Step 6: Final answer
    x = 2,196.39

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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.