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Finding the Fourth Proportional to 3,144.26, 4,716.46 and 835.76

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Solution

The fourth proportional to 3,144.26, 4,716.46 and 835.76 is: 1,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.26 : 4,716.46 = 835.76 : x
  2. Step 2: Convert to fraction form
    3,144.26/4,716.46 = 835.76/x
  3. Step 3: Cross multiply
    3,144.26x = 4,716.46 × 835.76
  4. Step 4: Simplify right side
    3,144.26x = 3,941,828.61
  5. Step 5: Solve for x
    x = 3,941,828.61/3,144.26
  6. Step 6: Final answer
    x = 1,253.66

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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.