Home / 1,984.08-2,738.14-1,198.24

Finding the Fourth Proportional to 1,984.08, 2,738.14 and 1,198.24

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Solution

The fourth proportional to 1,984.08, 2,738.14 and 1,198.24 is: 1,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.08 : 2,738.14 = 1,198.24 : x
  2. Step 2: Convert to fraction form
    1,984.08/2,738.14 = 1,198.24/x
  3. Step 3: Cross multiply
    1,984.08x = 2,738.14 × 1,198.24
  4. Step 4: Simplify right side
    1,984.08x = 3,280,948.87
  5. Step 5: Solve for x
    x = 3,280,948.87/1,984.08
  6. Step 6: Final answer
    x = 1,653.64

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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.