Home / 2,198.37-3,297.02-966.09

Finding the Fourth Proportional to 2,198.37, 3,297.02 and 966.09

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Solution

The fourth proportional to 2,198.37, 3,297.02 and 966.09 is: 1,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.37 : 3,297.02 = 966.09 : x
  2. Step 2: Convert to fraction form
    2,198.37/3,297.02 = 966.09/x
  3. Step 3: Cross multiply
    2,198.37x = 3,297.02 × 966.09
  4. Step 4: Simplify right side
    2,198.37x = 3,185,213.22
  5. Step 5: Solve for x
    x = 3,185,213.22/2,198.37
  6. Step 6: Final answer
    x = 1,448.90

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1.5x scale

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.