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Finding the Fourth Proportional to 3,055.97, 4,217.23 and 1,729.78

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Solution

The fourth proportional to 3,055.97, 4,217.23 and 1,729.78 is: 2,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.97 : 4,217.23 = 1,729.78 : x
  2. Step 2: Convert to fraction form
    3,055.97/4,217.23 = 1,729.78/x
  3. Step 3: Cross multiply
    3,055.97x = 4,217.23 × 1,729.78
  4. Step 4: Simplify right side
    3,055.97x = 7,294,880.11
  5. Step 5: Solve for x
    x = 7,294,880.11/3,055.97
  6. Step 6: Final answer
    x = 2,387.09

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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.