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Finding the Fourth Proportional to 2,713.68, 3,744.81 and 1,471.68

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Solution

The fourth proportional to 2,713.68, 3,744.81 and 1,471.68 is: 2,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.68 : 3,744.81 = 1,471.68 : x
  2. Step 2: Convert to fraction form
    2,713.68/3,744.81 = 1,471.68/x
  3. Step 3: Cross multiply
    2,713.68x = 3,744.81 × 1,471.68
  4. Step 4: Simplify right side
    2,713.68x = 5,511,161.98
  5. Step 5: Solve for x
    x = 5,511,161.98/2,713.68
  6. Step 6: Final answer
    x = 2,030.88

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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.