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Finding the Fourth Proportional to 2,026.40, 3,040.42 and 727.97

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Solution

The fourth proportional to 2,026.40, 3,040.42 and 727.97 is: 1,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.40 : 3,040.42 = 727.97 : x
  2. Step 2: Convert to fraction form
    2,026.40/3,040.42 = 727.97/x
  3. Step 3: Cross multiply
    2,026.40x = 3,040.42 × 727.97
  4. Step 4: Simplify right side
    2,026.40x = 2,213,347.28
  5. Step 5: Solve for x
    x = 2,213,347.28/2,026.40
  6. Step 6: Final answer
    x = 1,092.25

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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.