Home / 1,582.26-2,371.32-850.26

Finding the Fourth Proportional to 1,582.26, 2,371.32 and 850.26

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Solution

The fourth proportional to 1,582.26, 2,371.32 and 850.26 is: 1,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.26 : 2,371.32 = 850.26 : x
  2. Step 2: Convert to fraction form
    1,582.26/2,371.32 = 850.26/x
  3. Step 3: Cross multiply
    1,582.26x = 2,371.32 × 850.26
  4. Step 4: Simplify right side
    1,582.26x = 2,016,238.54
  5. Step 5: Solve for x
    x = 2,016,238.54/1,582.26
  6. Step 6: Final answer
    x = 1,274.28

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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.