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Finding the Fourth Proportional to 2,709.41, 3,738.42 and 1,713.51

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Solution

The fourth proportional to 2,709.41, 3,738.42 and 1,713.51 is: 2,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.41 : 3,738.42 = 1,713.51 : x
  2. Step 2: Convert to fraction form
    2,709.41/3,738.42 = 1,713.51/x
  3. Step 3: Cross multiply
    2,709.41x = 3,738.42 × 1,713.51
  4. Step 4: Simplify right side
    2,709.41x = 6,405,820.05
  5. Step 5: Solve for x
    x = 6,405,820.05/2,709.41
  6. Step 6: Final answer
    x = 2,364.29

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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.