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Finding the Fourth Proportional to 1,848.23, 2,771.64 and 793.91

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Solution

The fourth proportional to 1,848.23, 2,771.64 and 793.91 is: 1,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.23 : 2,771.64 = 793.91 : x
  2. Step 2: Convert to fraction form
    1,848.23/2,771.64 = 793.91/x
  3. Step 3: Cross multiply
    1,848.23x = 2,771.64 × 793.91
  4. Step 4: Simplify right side
    1,848.23x = 2,200,418.85
  5. Step 5: Solve for x
    x = 2,200,418.85/1,848.23
  6. Step 6: Final answer
    x = 1,190.56

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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.