Home / 2,282.08-3,421.40-967.37

Finding the Fourth Proportional to 2,282.08, 3,421.40 and 967.37

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Solution

The fourth proportional to 2,282.08, 3,421.40 and 967.37 is: 1,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.08 : 3,421.40 = 967.37 : x
  2. Step 2: Convert to fraction form
    2,282.08/3,421.40 = 967.37/x
  3. Step 3: Cross multiply
    2,282.08x = 3,421.40 × 967.37
  4. Step 4: Simplify right side
    2,282.08x = 3,309,759.72
  5. Step 5: Solve for x
    x = 3,309,759.72/2,282.08
  6. Step 6: Final answer
    x = 1,450.33

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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.