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Finding the Fourth Proportional to 2,896.16, 4,344.24 and 704.87

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Solution

The fourth proportional to 2,896.16, 4,344.24 and 704.87 is: 1,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.16 : 4,344.24 = 704.87 : x
  2. Step 2: Convert to fraction form
    2,896.16/4,344.24 = 704.87/x
  3. Step 3: Cross multiply
    2,896.16x = 4,344.24 × 704.87
  4. Step 4: Simplify right side
    2,896.16x = 3,062,102.73
  5. Step 5: Solve for x
    x = 3,062,102.73/2,896.16
  6. Step 6: Final answer
    x = 1,057.30

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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.