Home / 2,822.84-3,899.50-2,041

Finding the Fourth Proportional to 2,822.84, 3,899.50 and 2,041

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Solution

The fourth proportional to 2,822.84, 3,899.50 and 2,041 is: 2,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.84 : 3,899.50 = 2,041 : x
  2. Step 2: Convert to fraction form
    2,822.84/3,899.50 = 2,041/x
  3. Step 3: Cross multiply
    2,822.84x = 3,899.50 × 2,041
  4. Step 4: Simplify right side
    2,822.84x = 7,958,879.50
  5. Step 5: Solve for x
    x = 7,958,879.50/2,822.84
  6. Step 6: Final answer
    x = 2,819.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.