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Finding the Fourth Proportional to 2,707.97, 3,726.15 and 2,078.24

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Solution

The fourth proportional to 2,707.97, 3,726.15 and 2,078.24 is: 2,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.97 : 3,726.15 = 2,078.24 : x
  2. Step 2: Convert to fraction form
    2,707.97/3,726.15 = 2,078.24/x
  3. Step 3: Cross multiply
    2,707.97x = 3,726.15 × 2,078.24
  4. Step 4: Simplify right side
    2,707.97x = 7,743,833.98
  5. Step 5: Solve for x
    x = 7,743,833.98/2,707.97
  6. Step 6: Final answer
    x = 2,859.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.