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Finding the Fourth Proportional to 3,184.97, 4,773.74 and 2,072.84

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Solution

The fourth proportional to 3,184.97, 4,773.74 and 2,072.84 is: 3,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.97 : 4,773.74 = 2,072.84 : x
  2. Step 2: Convert to fraction form
    3,184.97/4,773.74 = 2,072.84/x
  3. Step 3: Cross multiply
    3,184.97x = 4,773.74 × 2,072.84
  4. Step 4: Simplify right side
    3,184.97x = 9,895,164.99
  5. Step 5: Solve for x
    x = 9,895,164.99/3,184.97
  6. Step 6: Final answer
    x = 3,106.84

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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.