Home / 1,532.26-2,112.24-942.34

Finding the Fourth Proportional to 1,532.26, 2,112.24 and 942.34

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Solution

The fourth proportional to 1,532.26, 2,112.24 and 942.34 is: 1,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.26 : 2,112.24 = 942.34 : x
  2. Step 2: Convert to fraction form
    1,532.26/2,112.24 = 942.34/x
  3. Step 3: Cross multiply
    1,532.26x = 2,112.24 × 942.34
  4. Step 4: Simplify right side
    1,532.26x = 1,990,448.24
  5. Step 5: Solve for x
    x = 1,990,448.24/1,532.26
  6. Step 6: Final answer
    x = 1,299.03

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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.