Home / 2,412.26-3,618.09-768.98

Finding the Fourth Proportional to 2,412.26, 3,618.09 and 768.98

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Solution

The fourth proportional to 2,412.26, 3,618.09 and 768.98 is: 1,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.26 : 3,618.09 = 768.98 : x
  2. Step 2: Convert to fraction form
    2,412.26/3,618.09 = 768.98/x
  3. Step 3: Cross multiply
    2,412.26x = 3,618.09 × 768.98
  4. Step 4: Simplify right side
    2,412.26x = 2,782,220.76
  5. Step 5: Solve for x
    x = 2,782,220.76/2,412.26
  6. Step 6: Final answer
    x = 1,153.37

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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.