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Finding the Fourth Proportional to 1,846.82, 2,770.66 and 548.22

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Solution

The fourth proportional to 1,846.82, 2,770.66 and 548.22 is: 822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.82 : 2,770.66 = 548.22 : x
  2. Step 2: Convert to fraction form
    1,846.82/2,770.66 = 548.22/x
  3. Step 3: Cross multiply
    1,846.82x = 2,770.66 × 548.22
  4. Step 4: Simplify right side
    1,846.82x = 1,518,931.23
  5. Step 5: Solve for x
    x = 1,518,931.23/1,846.82
  6. Step 6: Final answer
    x = 822.46

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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.