Home / 2,136.41-3,204.27-675.24

Finding the Fourth Proportional to 2,136.41, 3,204.27 and 675.24

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Solution

The fourth proportional to 2,136.41, 3,204.27 and 675.24 is: 1,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.41 : 3,204.27 = 675.24 : x
  2. Step 2: Convert to fraction form
    2,136.41/3,204.27 = 675.24/x
  3. Step 3: Cross multiply
    2,136.41x = 3,204.27 × 675.24
  4. Step 4: Simplify right side
    2,136.41x = 2,163,651.27
  5. Step 5: Solve for x
    x = 2,163,651.27/2,136.41
  6. Step 6: Final answer
    x = 1,012.75

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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.