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Finding the Fourth Proportional to 2,792.49, 3,852.41 and 1,729.97

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Solution

The fourth proportional to 2,792.49, 3,852.41 and 1,729.97 is: 2,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.49 : 3,852.41 = 1,729.97 : x
  2. Step 2: Convert to fraction form
    2,792.49/3,852.41 = 1,729.97/x
  3. Step 3: Cross multiply
    2,792.49x = 3,852.41 × 1,729.97
  4. Step 4: Simplify right side
    2,792.49x = 6,664,571.66
  5. Step 5: Solve for x
    x = 6,664,571.66/2,792.49
  6. Step 6: Final answer
    x = 2,386.60

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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.