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Finding the Fourth Proportional to 1,846.78, 2,770.49 and 614.25

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Solution

The fourth proportional to 1,846.78, 2,770.49 and 614.25 is: 921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.78 : 2,770.49 = 614.25 : x
  2. Step 2: Convert to fraction form
    1,846.78/2,770.49 = 614.25/x
  3. Step 3: Cross multiply
    1,846.78x = 2,770.49 × 614.25
  4. Step 4: Simplify right side
    1,846.78x = 1,701,775.02
  5. Step 5: Solve for x
    x = 1,701,775.02/1,846.78
  6. Step 6: Final answer
    x = 921.48

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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.