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Finding the Fourth Proportional to 2,726.47, 3,759.91 and 1,729.97

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Solution

The fourth proportional to 2,726.47, 3,759.91 and 1,729.97 is: 2,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.47 : 3,759.91 = 1,729.97 : x
  2. Step 2: Convert to fraction form
    2,726.47/3,759.91 = 1,729.97/x
  3. Step 3: Cross multiply
    2,726.47x = 3,759.91 × 1,729.97
  4. Step 4: Simplify right side
    2,726.47x = 6,504,531.50
  5. Step 5: Solve for x
    x = 6,504,531.50/2,726.47
  6. Step 6: Final answer
    x = 2,385.70

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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.