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Finding the Fourth Proportional to 1,846.23, 2,768.87 and 547.40

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Solution

The fourth proportional to 1,846.23, 2,768.87 and 547.40 is: 820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.23 : 2,768.87 = 547.40 : x
  2. Step 2: Convert to fraction form
    1,846.23/2,768.87 = 547.40/x
  3. Step 3: Cross multiply
    1,846.23x = 2,768.87 × 547.40
  4. Step 4: Simplify right side
    1,846.23x = 1,515,679.44
  5. Step 5: Solve for x
    x = 1,515,679.44/1,846.23
  6. Step 6: Final answer
    x = 820.96

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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.