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Finding the Fourth Proportional to 4,601.26, 6,896.49 and 1,968.00

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Solution

The fourth proportional to 4,601.26, 6,896.49 and 1,968.00 is: 2,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.26 : 6,896.49 = 1,968.00 : x
  2. Step 2: Convert to fraction form
    4,601.26/6,896.49 = 1,968.00/x
  3. Step 3: Cross multiply
    4,601.26x = 6,896.49 × 1,968.00
  4. Step 4: Simplify right side
    4,601.26x = 13,572,270.15
  5. Step 5: Solve for x
    x = 13,572,270.15/4,601.26
  6. Step 6: Final answer
    x = 2,949.69

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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.