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Finding the Fourth Proportional to 2,026.88, 3,039.52 and 794.12

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Solution

The fourth proportional to 2,026.88, 3,039.52 and 794.12 is: 1,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.88 : 3,039.52 = 794.12 : x
  2. Step 2: Convert to fraction form
    2,026.88/3,039.52 = 794.12/x
  3. Step 3: Cross multiply
    2,026.88x = 3,039.52 × 794.12
  4. Step 4: Simplify right side
    2,026.88x = 2,413,743.62
  5. Step 5: Solve for x
    x = 2,413,743.62/2,026.88
  6. Step 6: Final answer
    x = 1,190.87

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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.