Home / 2,035.68-3,064.56-1,824

Finding the Fourth Proportional to 2,035.68, 3,064.56 and 1,824

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Solution

The fourth proportional to 2,035.68, 3,064.56 and 1,824 is: 2,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.68 : 3,064.56 = 1,824 : x
  2. Step 2: Convert to fraction form
    2,035.68/3,064.56 = 1,824/x
  3. Step 3: Cross multiply
    2,035.68x = 3,064.56 × 1,824
  4. Step 4: Simplify right side
    2,035.68x = 5,589,757.44
  5. Step 5: Solve for x
    x = 5,589,757.44/2,035.68
  6. Step 6: Final answer
    x = 2,745.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.