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Finding the Fourth Proportional to 2,026.90, 3,040.70 and 794.13

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Solution

The fourth proportional to 2,026.90, 3,040.70 and 794.13 is: 1,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.90 : 3,040.70 = 794.13 : x
  2. Step 2: Convert to fraction form
    2,026.90/3,040.70 = 794.13/x
  3. Step 3: Cross multiply
    2,026.90x = 3,040.70 × 794.13
  4. Step 4: Simplify right side
    2,026.90x = 2,414,711.09
  5. Step 5: Solve for x
    x = 2,414,711.09/2,026.90
  6. Step 6: Final answer
    x = 1,191.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.