Home / 2,136.32-3,205.44-982.40

Finding the Fourth Proportional to 2,136.32, 3,205.44 and 982.40

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Solution

The fourth proportional to 2,136.32, 3,205.44 and 982.40 is: 1,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.32 : 3,205.44 = 982.40 : x
  2. Step 2: Convert to fraction form
    2,136.32/3,205.44 = 982.40/x
  3. Step 3: Cross multiply
    2,136.32x = 3,205.44 × 982.40
  4. Step 4: Simplify right side
    2,136.32x = 3,149,024.26
  5. Step 5: Solve for x
    x = 3,149,024.26/2,136.32
  6. Step 6: Final answer
    x = 1,474.04

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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.