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Finding the Fourth Proportional to 2,708.68, 3,734.26 and 1,713.46

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Solution

The fourth proportional to 2,708.68, 3,734.26 and 1,713.46 is: 2,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.68 : 3,734.26 = 1,713.46 : x
  2. Step 2: Convert to fraction form
    2,708.68/3,734.26 = 1,713.46/x
  3. Step 3: Cross multiply
    2,708.68x = 3,734.26 × 1,713.46
  4. Step 4: Simplify right side
    2,708.68x = 6,398,505.14
  5. Step 5: Solve for x
    x = 6,398,505.14/2,708.68
  6. Step 6: Final answer
    x = 2,362.22

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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.