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Finding the Fourth Proportional to 2,896.26, 3,997.08 and 2,423.32

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Solution

The fourth proportional to 2,896.26, 3,997.08 and 2,423.32 is: 3,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.26 : 3,997.08 = 2,423.32 : x
  2. Step 2: Convert to fraction form
    2,896.26/3,997.08 = 2,423.32/x
  3. Step 3: Cross multiply
    2,896.26x = 3,997.08 × 2,423.32
  4. Step 4: Simplify right side
    2,896.26x = 9,686,193.91
  5. Step 5: Solve for x
    x = 9,686,193.91/2,896.26
  6. Step 6: Final answer
    x = 3,344.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.