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Finding the Fourth Proportional to 3,144.30, 4,716.46 and 835.80

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Solution

The fourth proportional to 3,144.30, 4,716.46 and 835.80 is: 1,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.30 : 4,716.46 = 835.80 : x
  2. Step 2: Convert to fraction form
    3,144.30/4,716.46 = 835.80/x
  3. Step 3: Cross multiply
    3,144.30x = 4,716.46 × 835.80
  4. Step 4: Simplify right side
    3,144.30x = 3,942,017.27
  5. Step 5: Solve for x
    x = 3,942,017.27/3,144.30
  6. Step 6: Final answer
    x = 1,253.70

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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.