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Finding the Fourth Proportional to 2,493.81, 3,739.38 and 849.84

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Solution

The fourth proportional to 2,493.81, 3,739.38 and 849.84 is: 1,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.81 : 3,739.38 = 849.84 : x
  2. Step 2: Convert to fraction form
    2,493.81/3,739.38 = 849.84/x
  3. Step 3: Cross multiply
    2,493.81x = 3,739.38 × 849.84
  4. Step 4: Simplify right side
    2,493.81x = 3,177,874.70
  5. Step 5: Solve for x
    x = 3,177,874.70/2,493.81
  6. Step 6: Final answer
    x = 1,274.31

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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.