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Finding the Fourth Proportional to 2,027.15, 3,041.21 and 794.23

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Solution

The fourth proportional to 2,027.15, 3,041.21 and 794.23 is: 1,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.15 : 3,041.21 = 794.23 : x
  2. Step 2: Convert to fraction form
    2,027.15/3,041.21 = 794.23/x
  3. Step 3: Cross multiply
    2,027.15x = 3,041.21 × 794.23
  4. Step 4: Simplify right side
    2,027.15x = 2,415,420.22
  5. Step 5: Solve for x
    x = 2,415,420.22/2,027.15
  6. Step 6: Final answer
    x = 1,191.54

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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.