Home / 2,027.26-3,038.64-794.20

Finding the Fourth Proportional to 2,027.26, 3,038.64 and 794.20

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Solution

The fourth proportional to 2,027.26, 3,038.64 and 794.20 is: 1,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.26 : 3,038.64 = 794.20 : x
  2. Step 2: Convert to fraction form
    2,027.26/3,038.64 = 794.20/x
  3. Step 3: Cross multiply
    2,027.26x = 3,038.64 × 794.20
  4. Step 4: Simplify right side
    2,027.26x = 2,413,287.89
  5. Step 5: Solve for x
    x = 2,413,287.89/2,027.26
  6. Step 6: Final answer
    x = 1,190.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.