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Finding the Fourth Proportional to 2,771.96, 3,815.10 and 2,210.63

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Solution

The fourth proportional to 2,771.96, 3,815.10 and 2,210.63 is: 3,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.96 : 3,815.10 = 2,210.63 : x
  2. Step 2: Convert to fraction form
    2,771.96/3,815.10 = 2,210.63/x
  3. Step 3: Cross multiply
    2,771.96x = 3,815.10 × 2,210.63
  4. Step 4: Simplify right side
    2,771.96x = 8,433,755.44
  5. Step 5: Solve for x
    x = 8,433,755.44/2,771.96
  6. Step 6: Final answer
    x = 3,042.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.