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Finding the Fourth Proportional to 1,846.22, 2,768.92 and 547.25

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Solution

The fourth proportional to 1,846.22, 2,768.92 and 547.25 is: 820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.22 : 2,768.92 = 547.25 : x
  2. Step 2: Convert to fraction form
    1,846.22/2,768.92 = 547.25/x
  3. Step 3: Cross multiply
    1,846.22x = 2,768.92 × 547.25
  4. Step 4: Simplify right side
    1,846.22x = 1,515,276.26
  5. Step 5: Solve for x
    x = 1,515,276.26/1,846.22
  6. Step 6: Final answer
    x = 820.75

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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.