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Finding the Fourth Proportional to 2,940.45, 4,410.98 and 992.81

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Solution

The fourth proportional to 2,940.45, 4,410.98 and 992.81 is: 1,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.45 : 4,410.98 = 992.81 : x
  2. Step 2: Convert to fraction form
    2,940.45/4,410.98 = 992.81/x
  3. Step 3: Cross multiply
    2,940.45x = 4,410.98 × 992.81
  4. Step 4: Simplify right side
    2,940.45x = 4,379,265.05
  5. Step 5: Solve for x
    x = 4,379,265.05/2,940.45
  6. Step 6: Final answer
    x = 1,489.32

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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.