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Finding the Fourth Proportional to 3,185.97, 4,776.49 and 1,453.38

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Solution

The fourth proportional to 3,185.97, 4,776.49 and 1,453.38 is: 2,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.97 : 4,776.49 = 1,453.38 : x
  2. Step 2: Convert to fraction form
    3,185.97/4,776.49 = 1,453.38/x
  3. Step 3: Cross multiply
    3,185.97x = 4,776.49 × 1,453.38
  4. Step 4: Simplify right side
    3,185.97x = 6,942,055.04
  5. Step 5: Solve for x
    x = 6,942,055.04/3,185.97
  6. Step 6: Final answer
    x = 2,178.95

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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.