Home / 1,512.36-2,263.82-1,164.78

Finding the Fourth Proportional to 1,512.36, 2,263.82 and 1,164.78

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Solution

The fourth proportional to 1,512.36, 2,263.82 and 1,164.78 is: 1,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.36 : 2,263.82 = 1,164.78 : x
  2. Step 2: Convert to fraction form
    1,512.36/2,263.82 = 1,164.78/x
  3. Step 3: Cross multiply
    1,512.36x = 2,263.82 × 1,164.78
  4. Step 4: Simplify right side
    1,512.36x = 2,636,846.44
  5. Step 5: Solve for x
    x = 2,636,846.44/1,512.36
  6. Step 6: Final answer
    x = 1,743.53

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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.