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Finding the Fourth Proportional to 2,762.01, 3,813.41 and 2,131.42

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Solution

The fourth proportional to 2,762.01, 3,813.41 and 2,131.42 is: 2,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.01 : 3,813.41 = 2,131.42 : x
  2. Step 2: Convert to fraction form
    2,762.01/3,813.41 = 2,131.42/x
  3. Step 3: Cross multiply
    2,762.01x = 3,813.41 × 2,131.42
  4. Step 4: Simplify right side
    2,762.01x = 8,127,978.34
  5. Step 5: Solve for x
    x = 8,127,978.34/2,762.01
  6. Step 6: Final answer
    x = 2,942.78

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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.