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Finding the Fourth Proportional to 2,896.80, 4,336.56 and 2,508

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Solution

The fourth proportional to 2,896.80, 4,336.56 and 2,508 is: 3,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.80 : 4,336.56 = 2,508 : x
  2. Step 2: Convert to fraction form
    2,896.80/4,336.56 = 2,508/x
  3. Step 3: Cross multiply
    2,896.80x = 4,336.56 × 2,508
  4. Step 4: Simplify right side
    2,896.80x = 10,876,092.48
  5. Step 5: Solve for x
    x = 10,876,092.48/2,896.80
  6. Step 6: Final answer
    x = 3,754.52

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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.