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Finding the Fourth Proportional to 1,846.26, 2,768.96 and 529.98

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Solution

The fourth proportional to 1,846.26, 2,768.96 and 529.98 is: 794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.26 : 2,768.96 = 529.98 : x
  2. Step 2: Convert to fraction form
    1,846.26/2,768.96 = 529.98/x
  3. Step 3: Cross multiply
    1,846.26x = 2,768.96 × 529.98
  4. Step 4: Simplify right side
    1,846.26x = 1,467,493.42
  5. Step 5: Solve for x
    x = 1,467,493.42/1,846.26
  6. Step 6: Final answer
    x = 794.85

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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.