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Finding the Fourth Proportional to 2,830.98, 4,240.82 and 2,211.78

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Solution

The fourth proportional to 2,830.98, 4,240.82 and 2,211.78 is: 3,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.98 : 4,240.82 = 2,211.78 : x
  2. Step 2: Convert to fraction form
    2,830.98/4,240.82 = 2,211.78/x
  3. Step 3: Cross multiply
    2,830.98x = 4,240.82 × 2,211.78
  4. Step 4: Simplify right side
    2,830.98x = 9,379,760.86
  5. Step 5: Solve for x
    x = 9,379,760.86/2,830.98
  6. Step 6: Final answer
    x = 3,313.26

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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.