Home / 2,136.78-3,205.56-982.50

Finding the Fourth Proportional to 2,136.78, 3,205.56 and 982.50

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Solution

The fourth proportional to 2,136.78, 3,205.56 and 982.50 is: 1,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.78 : 3,205.56 = 982.50 : x
  2. Step 2: Convert to fraction form
    2,136.78/3,205.56 = 982.50/x
  3. Step 3: Cross multiply
    2,136.78x = 3,205.56 × 982.50
  4. Step 4: Simplify right side
    2,136.78x = 3,149,462.70
  5. Step 5: Solve for x
    x = 3,149,462.70/2,136.78
  6. Step 6: Final answer
    x = 1,473.93

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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.