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Finding the Fourth Proportional to 2,028.20, 3,041.36 and 794.68

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Solution

The fourth proportional to 2,028.20, 3,041.36 and 794.68 is: 1,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.20 : 3,041.36 = 794.68 : x
  2. Step 2: Convert to fraction form
    2,028.20/3,041.36 = 794.68/x
  3. Step 3: Cross multiply
    2,028.20x = 3,041.36 × 794.68
  4. Step 4: Simplify right side
    2,028.20x = 2,416,907.96
  5. Step 5: Solve for x
    x = 2,416,907.96/2,028.20
  6. Step 6: Final answer
    x = 1,191.65

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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.