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Finding the Fourth Proportional to 1,846.80, 2,770.56 and 548.28

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Solution

The fourth proportional to 1,846.80, 2,770.56 and 548.28 is: 822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.80 : 2,770.56 = 548.28 : x
  2. Step 2: Convert to fraction form
    1,846.80/2,770.56 = 548.28/x
  3. Step 3: Cross multiply
    1,846.80x = 2,770.56 × 548.28
  4. Step 4: Simplify right side
    1,846.80x = 1,519,042.64
  5. Step 5: Solve for x
    x = 1,519,042.64/1,846.80
  6. Step 6: Final answer
    x = 822.53

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1.5x scale

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.