Home / 3,205.96-4,808.16-1,645.14

Finding the Fourth Proportional to 3,205.96, 4,808.16 and 1,645.14

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Solution

The fourth proportional to 3,205.96, 4,808.16 and 1,645.14 is: 2,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.96 : 4,808.16 = 1,645.14 : x
  2. Step 2: Convert to fraction form
    3,205.96/4,808.16 = 1,645.14/x
  3. Step 3: Cross multiply
    3,205.96x = 4,808.16 × 1,645.14
  4. Step 4: Simplify right side
    3,205.96x = 7,910,096.34
  5. Step 5: Solve for x
    x = 7,910,096.34/3,205.96
  6. Step 6: Final answer
    x = 2,467.31

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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.