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Finding the Fourth Proportional to 2,553.48, 3,828.75 and 798

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Solution

The fourth proportional to 2,553.48, 3,828.75 and 798 is: 1,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.48 : 3,828.75 = 798 : x
  2. Step 2: Convert to fraction form
    2,553.48/3,828.75 = 798/x
  3. Step 3: Cross multiply
    2,553.48x = 3,828.75 × 798
  4. Step 4: Simplify right side
    2,553.48x = 3,055,342.50
  5. Step 5: Solve for x
    x = 3,055,342.50/2,553.48
  6. Step 6: Final answer
    x = 1,196.54

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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.