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Finding the Fourth Proportional to 2,019.67, 3,027.07 and 922.53

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Solution

The fourth proportional to 2,019.67, 3,027.07 and 922.53 is: 1,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.67 : 3,027.07 = 922.53 : x
  2. Step 2: Convert to fraction form
    2,019.67/3,027.07 = 922.53/x
  3. Step 3: Cross multiply
    2,019.67x = 3,027.07 × 922.53
  4. Step 4: Simplify right side
    2,019.67x = 2,792,562.89
  5. Step 5: Solve for x
    x = 2,792,562.89/2,019.67
  6. Step 6: Final answer
    x = 1,382.68

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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.