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Finding the Fourth Proportional to 2,940.98, 4,406.00 and 2,456.19

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Solution

The fourth proportional to 2,940.98, 4,406.00 and 2,456.19 is: 3,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.98 : 4,406.00 = 2,456.19 : x
  2. Step 2: Convert to fraction form
    2,940.98/4,406.00 = 2,456.19/x
  3. Step 3: Cross multiply
    2,940.98x = 4,406.00 × 2,456.19
  4. Step 4: Simplify right side
    2,940.98x = 10,821,960.86
  5. Step 5: Solve for x
    x = 10,821,960.86/2,940.98
  6. Step 6: Final answer
    x = 3,679.72

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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.