Home / 2,231.24-3,344.16-1,582.16

Finding the Fourth Proportional to 2,231.24, 3,344.16 and 1,582.16

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Solution

The fourth proportional to 2,231.24, 3,344.16 and 1,582.16 is: 2,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.24 : 3,344.16 = 1,582.16 : x
  2. Step 2: Convert to fraction form
    2,231.24/3,344.16 = 1,582.16/x
  3. Step 3: Cross multiply
    2,231.24x = 3,344.16 × 1,582.16
  4. Step 4: Simplify right side
    2,231.24x = 5,290,996.19
  5. Step 5: Solve for x
    x = 5,290,996.19/2,231.24
  6. Step 6: Final answer
    x = 2,371.33

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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.