Home / 2,971.62-4,450.34-1,782.34

Finding the Fourth Proportional to 2,971.62, 4,450.34 and 1,782.34

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Solution

The fourth proportional to 2,971.62, 4,450.34 and 1,782.34 is: 2,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.62 : 4,450.34 = 1,782.34 : x
  2. Step 2: Convert to fraction form
    2,971.62/4,450.34 = 1,782.34/x
  3. Step 3: Cross multiply
    2,971.62x = 4,450.34 × 1,782.34
  4. Step 4: Simplify right side
    2,971.62x = 7,932,012.33
  5. Step 5: Solve for x
    x = 7,932,012.33/2,971.62
  6. Step 6: Final answer
    x = 2,669.26

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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.