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Finding the Fourth Proportional to 3,144.98, 4,716.66 and 1,296.62

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Solution

The fourth proportional to 3,144.98, 4,716.66 and 1,296.62 is: 1,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.98 : 4,716.66 = 1,296.62 : x
  2. Step 2: Convert to fraction form
    3,144.98/4,716.66 = 1,296.62/x
  3. Step 3: Cross multiply
    3,144.98x = 4,716.66 × 1,296.62
  4. Step 4: Simplify right side
    3,144.98x = 6,115,715.69
  5. Step 5: Solve for x
    x = 6,115,715.69/3,144.98
  6. Step 6: Final answer
    x = 1,944.60

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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.