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Finding the Fourth Proportional to 2,729.43, 3,762.80 and 2,308.09

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Solution

The fourth proportional to 2,729.43, 3,762.80 and 2,308.09 is: 3,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.43 : 3,762.80 = 2,308.09 : x
  2. Step 2: Convert to fraction form
    2,729.43/3,762.80 = 2,308.09/x
  3. Step 3: Cross multiply
    2,729.43x = 3,762.80 × 2,308.09
  4. Step 4: Simplify right side
    2,729.43x = 8,684,893.34
  5. Step 5: Solve for x
    x = 8,684,893.34/2,729.43
  6. Step 6: Final answer
    x = 3,181.94

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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.