Home / 2,048.21-2,826.72-1,163.84

Finding the Fourth Proportional to 2,048.21, 2,826.72 and 1,163.84

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Solution

The fourth proportional to 2,048.21, 2,826.72 and 1,163.84 is: 1,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.21 : 2,826.72 = 1,163.84 : x
  2. Step 2: Convert to fraction form
    2,048.21/2,826.72 = 1,163.84/x
  3. Step 3: Cross multiply
    2,048.21x = 2,826.72 × 1,163.84
  4. Step 4: Simplify right side
    2,048.21x = 3,289,849.80
  5. Step 5: Solve for x
    x = 3,289,849.80/2,048.21
  6. Step 6: Final answer
    x = 1,606.21

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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.