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Finding the Fourth Proportional to 2,896.49, 4,344.74 and 705.22

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Solution

The fourth proportional to 2,896.49, 4,344.74 and 705.22 is: 1,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.49 : 4,344.74 = 705.22 : x
  2. Step 2: Convert to fraction form
    2,896.49/4,344.74 = 705.22/x
  3. Step 3: Cross multiply
    2,896.49x = 4,344.74 × 705.22
  4. Step 4: Simplify right side
    2,896.49x = 3,063,997.54
  5. Step 5: Solve for x
    x = 3,063,997.54/2,896.49
  6. Step 6: Final answer
    x = 1,057.83

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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.