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Finding the Fourth Proportional to 2,567.28, 3,540.48 and 1,905.78

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Solution

The fourth proportional to 2,567.28, 3,540.48 and 1,905.78 is: 2,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.28 : 3,540.48 = 1,905.78 : x
  2. Step 2: Convert to fraction form
    2,567.28/3,540.48 = 1,905.78/x
  3. Step 3: Cross multiply
    2,567.28x = 3,540.48 × 1,905.78
  4. Step 4: Simplify right side
    2,567.28x = 6,747,375.97
  5. Step 5: Solve for x
    x = 6,747,375.97/2,567.28
  6. Step 6: Final answer
    x = 2,628.22

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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.