Home / 2,137.80-3,206.22-982.44

Finding the Fourth Proportional to 2,137.80, 3,206.22 and 982.44

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Solution

The fourth proportional to 2,137.80, 3,206.22 and 982.44 is: 1,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.80 : 3,206.22 = 982.44 : x
  2. Step 2: Convert to fraction form
    2,137.80/3,206.22 = 982.44/x
  3. Step 3: Cross multiply
    2,137.80x = 3,206.22 × 982.44
  4. Step 4: Simplify right side
    2,137.80x = 3,149,918.78
  5. Step 5: Solve for x
    x = 3,149,918.78/2,137.80
  6. Step 6: Final answer
    x = 1,473.44

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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.