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Finding the Fourth Proportional to 2,762.43, 3,809.53 and 2,131.94

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Solution

The fourth proportional to 2,762.43, 3,809.53 and 2,131.94 is: 2,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.43 : 3,809.53 = 2,131.94 : x
  2. Step 2: Convert to fraction form
    2,762.43/3,809.53 = 2,131.94/x
  3. Step 3: Cross multiply
    2,762.43x = 3,809.53 × 2,131.94
  4. Step 4: Simplify right side
    2,762.43x = 8,121,689.39
  5. Step 5: Solve for x
    x = 8,121,689.39/2,762.43
  6. Step 6: Final answer
    x = 2,940.05

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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.