Home / 2,198.50-3,033.93-1,267

Finding the Fourth Proportional to 2,198.50, 3,033.93 and 1,267

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Solution

The fourth proportional to 2,198.50, 3,033.93 and 1,267 is: 1,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.50 : 3,033.93 = 1,267 : x
  2. Step 2: Convert to fraction form
    2,198.50/3,033.93 = 1,267/x
  3. Step 3: Cross multiply
    2,198.50x = 3,033.93 × 1,267
  4. Step 4: Simplify right side
    2,198.50x = 3,843,989.31
  5. Step 5: Solve for x
    x = 3,843,989.31/2,198.50
  6. Step 6: Final answer
    x = 1,748.46

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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.