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Finding the Fourth Proportional to 2,493.25, 3,739.97 and 849.81

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Solution

The fourth proportional to 2,493.25, 3,739.97 and 849.81 is: 1,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.25 : 3,739.97 = 849.81 : x
  2. Step 2: Convert to fraction form
    2,493.25/3,739.97 = 849.81/x
  3. Step 3: Cross multiply
    2,493.25x = 3,739.97 × 849.81
  4. Step 4: Simplify right side
    2,493.25x = 3,178,259.02
  5. Step 5: Solve for x
    x = 3,178,259.02/2,493.25
  6. Step 6: Final answer
    x = 1,274.75

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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.