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Finding the Fourth Proportional to 2,544.98, 3,817.29 and 789.94

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Solution

The fourth proportional to 2,544.98, 3,817.29 and 789.94 is: 1,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.98 : 3,817.29 = 789.94 : x
  2. Step 2: Convert to fraction form
    2,544.98/3,817.29 = 789.94/x
  3. Step 3: Cross multiply
    2,544.98x = 3,817.29 × 789.94
  4. Step 4: Simplify right side
    2,544.98x = 3,015,429.03
  5. Step 5: Solve for x
    x = 3,015,429.03/2,544.98
  6. Step 6: Final answer
    x = 1,184.85

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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.