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Finding the Fourth Proportional to 2,707.39, 3,738 and 1,661.26

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Solution

The fourth proportional to 2,707.39, 3,738 and 1,661.26 is: 2,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.39 : 3,738 = 1,661.26 : x
  2. Step 2: Convert to fraction form
    2,707.39/3,738 = 1,661.26/x
  3. Step 3: Cross multiply
    2,707.39x = 3,738 × 1,661.26
  4. Step 4: Simplify right side
    2,707.39x = 6,209,789.88
  5. Step 5: Solve for x
    x = 6,209,789.88/2,707.39
  6. Step 6: Final answer
    x = 2,293.64

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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.