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Finding the Fourth Proportional to 3,055.94, 4,217.12 and 1,729.60

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Solution

The fourth proportional to 3,055.94, 4,217.12 and 1,729.60 is: 2,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.94 : 4,217.12 = 1,729.60 : x
  2. Step 2: Convert to fraction form
    3,055.94/4,217.12 = 1,729.60/x
  3. Step 3: Cross multiply
    3,055.94x = 4,217.12 × 1,729.60
  4. Step 4: Simplify right side
    3,055.94x = 7,293,930.75
  5. Step 5: Solve for x
    x = 7,293,930.75/3,055.94
  6. Step 6: Final answer
    x = 2,386.80

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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.