Home / 1,824.26-2,517.78-1,161.41

Finding the Fourth Proportional to 1,824.26, 2,517.78 and 1,161.41

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Solution

The fourth proportional to 1,824.26, 2,517.78 and 1,161.41 is: 1,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.26 : 2,517.78 = 1,161.41 : x
  2. Step 2: Convert to fraction form
    1,824.26/2,517.78 = 1,161.41/x
  3. Step 3: Cross multiply
    1,824.26x = 2,517.78 × 1,161.41
  4. Step 4: Simplify right side
    1,824.26x = 2,924,174.87
  5. Step 5: Solve for x
    x = 2,924,174.87/1,824.26
  6. Step 6: Final answer
    x = 1,602.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.