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Finding the Fourth Proportional to 3,185.55, 4,778.33 and 994.28

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Solution

The fourth proportional to 3,185.55, 4,778.33 and 994.28 is: 1,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.55 : 4,778.33 = 994.28 : x
  2. Step 2: Convert to fraction form
    3,185.55/4,778.33 = 994.28/x
  3. Step 3: Cross multiply
    3,185.55x = 4,778.33 × 994.28
  4. Step 4: Simplify right side
    3,185.55x = 4,750,969.09
  5. Step 5: Solve for x
    x = 4,750,969.09/3,185.55
  6. Step 6: Final answer
    x = 1,491.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.