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Finding the Fourth Proportional to 2,896.55, 4,344.74 and 705.26

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Solution

The fourth proportional to 2,896.55, 4,344.74 and 705.26 is: 1,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.55 : 4,344.74 = 705.26 : x
  2. Step 2: Convert to fraction form
    2,896.55/4,344.74 = 705.26/x
  3. Step 3: Cross multiply
    2,896.55x = 4,344.74 × 705.26
  4. Step 4: Simplify right side
    2,896.55x = 3,064,146.08
  5. Step 5: Solve for x
    x = 3,064,146.08/2,896.55
  6. Step 6: Final answer
    x = 1,057.86

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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.