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Finding the Fourth Proportional to 3,144.45, 4,716.68 and 835.95

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Solution

The fourth proportional to 3,144.45, 4,716.68 and 835.95 is: 1,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.45 : 4,716.68 = 835.95 : x
  2. Step 2: Convert to fraction form
    3,144.45/4,716.68 = 835.95/x
  3. Step 3: Cross multiply
    3,144.45x = 4,716.68 × 835.95
  4. Step 4: Simplify right side
    3,144.45x = 3,942,880.88
  5. Step 5: Solve for x
    x = 3,942,880.88/3,144.45
  6. Step 6: Final answer
    x = 1,253.92

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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.