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Finding the Fourth Proportional to 2,896.22, 4,344.30 and 704.95

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Solution

The fourth proportional to 2,896.22, 4,344.30 and 704.95 is: 1,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.22 : 4,344.30 = 704.95 : x
  2. Step 2: Convert to fraction form
    2,896.22/4,344.30 = 704.95/x
  3. Step 3: Cross multiply
    2,896.22x = 4,344.30 × 704.95
  4. Step 4: Simplify right side
    2,896.22x = 3,062,503.42
  5. Step 5: Solve for x
    x = 3,062,503.42/2,896.22
  6. Step 6: Final answer
    x = 1,057.41

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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.