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Finding the Fourth Proportional to 1,922.67, 2,884.29 and 605.98

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Solution

The fourth proportional to 1,922.67, 2,884.29 and 605.98 is: 909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.67 : 2,884.29 = 605.98 : x
  2. Step 2: Convert to fraction form
    1,922.67/2,884.29 = 605.98/x
  3. Step 3: Cross multiply
    1,922.67x = 2,884.29 × 605.98
  4. Step 4: Simplify right side
    1,922.67x = 1,747,817.98
  5. Step 5: Solve for x
    x = 1,747,817.98/1,922.67
  6. Step 6: Final answer
    x = 909.06

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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.