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Finding the Fourth Proportional to 2,296, 3,444.68 and 1,322.80

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Solution

The fourth proportional to 2,296, 3,444.68 and 1,322.80 is: 1,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296 : 3,444.68 = 1,322.80 : x
  2. Step 2: Convert to fraction form
    2,296/3,444.68 = 1,322.80/x
  3. Step 3: Cross multiply
    2,296x = 3,444.68 × 1,322.80
  4. Step 4: Simplify right side
    2,296x = 4,556,622.70
  5. Step 5: Solve for x
    x = 4,556,622.70/2,296
  6. Step 6: Final answer
    x = 1,984.59

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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.