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Finding the Fourth Proportional to 2,548.47, 3,822.93 and 793.48

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Solution

The fourth proportional to 2,548.47, 3,822.93 and 793.48 is: 1,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.47 : 3,822.93 = 793.48 : x
  2. Step 2: Convert to fraction form
    2,548.47/3,822.93 = 793.48/x
  3. Step 3: Cross multiply
    2,548.47x = 3,822.93 × 793.48
  4. Step 4: Simplify right side
    2,548.47x = 3,033,418.50
  5. Step 5: Solve for x
    x = 3,033,418.50/2,548.47
  6. Step 6: Final answer
    x = 1,190.29

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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.