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Finding the Fourth Proportional to 2,027.17, 3,040.23 and 793.90

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Solution

The fourth proportional to 2,027.17, 3,040.23 and 793.90 is: 1,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.17 : 3,040.23 = 793.90 : x
  2. Step 2: Convert to fraction form
    2,027.17/3,040.23 = 793.90/x
  3. Step 3: Cross multiply
    2,027.17x = 3,040.23 × 793.90
  4. Step 4: Simplify right side
    2,027.17x = 2,413,638.60
  5. Step 5: Solve for x
    x = 2,413,638.60/2,027.17
  6. Step 6: Final answer
    x = 1,190.64

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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.