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Finding the Fourth Proportional to 1,988.73, 2,744.43 and 1,202.63

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Solution

The fourth proportional to 1,988.73, 2,744.43 and 1,202.63 is: 1,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.73 : 2,744.43 = 1,202.63 : x
  2. Step 2: Convert to fraction form
    1,988.73/2,744.43 = 1,202.63/x
  3. Step 3: Cross multiply
    1,988.73x = 2,744.43 × 1,202.63
  4. Step 4: Simplify right side
    1,988.73x = 3,300,520.13
  5. Step 5: Solve for x
    x = 3,300,520.13/1,988.73
  6. Step 6: Final answer
    x = 1,659.61

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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.