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Finding the Fourth Proportional to 1,846.69, 2,770.47 and 548.19

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Solution

The fourth proportional to 1,846.69, 2,770.47 and 548.19 is: 822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.69 : 2,770.47 = 548.19 : x
  2. Step 2: Convert to fraction form
    1,846.69/2,770.47 = 548.19/x
  3. Step 3: Cross multiply
    1,846.69x = 2,770.47 × 548.19
  4. Step 4: Simplify right side
    1,846.69x = 1,518,743.95
  5. Step 5: Solve for x
    x = 1,518,743.95/1,846.69
  6. Step 6: Final answer
    x = 822.42

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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.