Home / 2,136.16-3,202.26-1,162.36

Finding the Fourth Proportional to 2,136.16, 3,202.26 and 1,162.36

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Solution

The fourth proportional to 2,136.16, 3,202.26 and 1,162.36 is: 1,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.16 : 3,202.26 = 1,162.36 : x
  2. Step 2: Convert to fraction form
    2,136.16/3,202.26 = 1,162.36/x
  3. Step 3: Cross multiply
    2,136.16x = 3,202.26 × 1,162.36
  4. Step 4: Simplify right side
    2,136.16x = 3,722,178.93
  5. Step 5: Solve for x
    x = 3,722,178.93/2,136.16
  6. Step 6: Final answer
    x = 1,742.46

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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.