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Finding the Fourth Proportional to 3,243.54, 4,476.20 and 1,918.38

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Solution

The fourth proportional to 3,243.54, 4,476.20 and 1,918.38 is: 2,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.54 : 4,476.20 = 1,918.38 : x
  2. Step 2: Convert to fraction form
    3,243.54/4,476.20 = 1,918.38/x
  3. Step 3: Cross multiply
    3,243.54x = 4,476.20 × 1,918.38
  4. Step 4: Simplify right side
    3,243.54x = 8,587,042.96
  5. Step 5: Solve for x
    x = 8,587,042.96/3,243.54
  6. Step 6: Final answer
    x = 2,647.43

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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.