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Finding the Fourth Proportional to 2,896.24, 4,344.36 and 704.97

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Solution

The fourth proportional to 2,896.24, 4,344.36 and 704.97 is: 1,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.24 : 4,344.36 = 704.97 : x
  2. Step 2: Convert to fraction form
    2,896.24/4,344.36 = 704.97/x
  3. Step 3: Cross multiply
    2,896.24x = 4,344.36 × 704.97
  4. Step 4: Simplify right side
    2,896.24x = 3,062,643.47
  5. Step 5: Solve for x
    x = 3,062,643.47/2,896.24
  6. Step 6: Final answer
    x = 1,057.46

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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.