Home / 1,823.73-2,733.63-1,198.80

Finding the Fourth Proportional to 1,823.73, 2,733.63 and 1,198.80

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Solution

The fourth proportional to 1,823.73, 2,733.63 and 1,198.80 is: 1,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.73 : 2,733.63 = 1,198.80 : x
  2. Step 2: Convert to fraction form
    1,823.73/2,733.63 = 1,198.80/x
  3. Step 3: Cross multiply
    1,823.73x = 2,733.63 × 1,198.80
  4. Step 4: Simplify right side
    1,823.73x = 3,277,075.64
  5. Step 5: Solve for x
    x = 3,277,075.64/1,823.73
  6. Step 6: Final answer
    x = 1,796.91

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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.