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Finding the Fourth Proportional to 2,943.81, 4,062.82 and 1,701.81

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Solution

The fourth proportional to 2,943.81, 4,062.82 and 1,701.81 is: 2,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.81 : 4,062.82 = 1,701.81 : x
  2. Step 2: Convert to fraction form
    2,943.81/4,062.82 = 1,701.81/x
  3. Step 3: Cross multiply
    2,943.81x = 4,062.82 × 1,701.81
  4. Step 4: Simplify right side
    2,943.81x = 6,914,147.70
  5. Step 5: Solve for x
    x = 6,914,147.70/2,943.81
  6. Step 6: Final answer
    x = 2,348.71

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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.