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Finding the Fourth Proportional to 1,846.98, 2,770.86 and 614.31

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Solution

The fourth proportional to 1,846.98, 2,770.86 and 614.31 is: 921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.98 : 2,770.86 = 614.31 : x
  2. Step 2: Convert to fraction form
    1,846.98/2,770.86 = 614.31/x
  3. Step 3: Cross multiply
    1,846.98x = 2,770.86 × 614.31
  4. Step 4: Simplify right side
    1,846.98x = 1,702,167.01
  5. Step 5: Solve for x
    x = 1,702,167.01/1,846.98
  6. Step 6: Final answer
    x = 921.59

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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.