Home / 2,311.74-3,467.96-668.31

Finding the Fourth Proportional to 2,311.74, 3,467.96 and 668.31

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Solution

The fourth proportional to 2,311.74, 3,467.96 and 668.31 is: 1,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.74 : 3,467.96 = 668.31 : x
  2. Step 2: Convert to fraction form
    2,311.74/3,467.96 = 668.31/x
  3. Step 3: Cross multiply
    2,311.74x = 3,467.96 × 668.31
  4. Step 4: Simplify right side
    2,311.74x = 2,317,669.01
  5. Step 5: Solve for x
    x = 2,317,669.01/2,311.74
  6. Step 6: Final answer
    x = 1,002.56

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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.