Home / 2,524.09-3,786.27-768.96

Finding the Fourth Proportional to 2,524.09, 3,786.27 and 768.96

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Solution

The fourth proportional to 2,524.09, 3,786.27 and 768.96 is: 1,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.09 : 3,786.27 = 768.96 : x
  2. Step 2: Convert to fraction form
    2,524.09/3,786.27 = 768.96/x
  3. Step 3: Cross multiply
    2,524.09x = 3,786.27 × 768.96
  4. Step 4: Simplify right side
    2,524.09x = 2,911,478.79
  5. Step 5: Solve for x
    x = 2,911,478.79/2,524.09
  6. Step 6: Final answer
    x = 1,153.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.