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Finding the Fourth Proportional to 2,108.49, 3,162.63 and 548.55

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Solution

The fourth proportional to 2,108.49, 3,162.63 and 548.55 is: 822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.49 : 3,162.63 = 548.55 : x
  2. Step 2: Convert to fraction form
    2,108.49/3,162.63 = 548.55/x
  3. Step 3: Cross multiply
    2,108.49x = 3,162.63 × 548.55
  4. Step 4: Simplify right side
    2,108.49x = 1,734,860.69
  5. Step 5: Solve for x
    x = 1,734,860.69/2,108.49
  6. Step 6: Final answer
    x = 822.80

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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.