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Finding the Fourth Proportional to 2,027.41, 3,040.80 and 795.65

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Solution

The fourth proportional to 2,027.41, 3,040.80 and 795.65 is: 1,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.41 : 3,040.80 = 795.65 : x
  2. Step 2: Convert to fraction form
    2,027.41/3,040.80 = 795.65/x
  3. Step 3: Cross multiply
    2,027.41x = 3,040.80 × 795.65
  4. Step 4: Simplify right side
    2,027.41x = 2,419,412.52
  5. Step 5: Solve for x
    x = 2,419,412.52/2,027.41
  6. Step 6: Final answer
    x = 1,193.35

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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.