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Finding the Fourth Proportional to 3,243.81, 4,474.73 and 1,985.48

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Solution

The fourth proportional to 3,243.81, 4,474.73 and 1,985.48 is: 2,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.81 : 4,474.73 = 1,985.48 : x
  2. Step 2: Convert to fraction form
    3,243.81/4,474.73 = 1,985.48/x
  3. Step 3: Cross multiply
    3,243.81x = 4,474.73 × 1,985.48
  4. Step 4: Simplify right side
    3,243.81x = 8,884,454.62
  5. Step 5: Solve for x
    x = 8,884,454.62/3,243.81
  6. Step 6: Final answer
    x = 2,738.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.