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Finding the Fourth Proportional to 3,291.45, 4,542.26 and 1,965.27

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Solution

The fourth proportional to 3,291.45, 4,542.26 and 1,965.27 is: 2,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.45 : 4,542.26 = 1,965.27 : x
  2. Step 2: Convert to fraction form
    3,291.45/4,542.26 = 1,965.27/x
  3. Step 3: Cross multiply
    3,291.45x = 4,542.26 × 1,965.27
  4. Step 4: Simplify right side
    3,291.45x = 8,926,757.48
  5. Step 5: Solve for x
    x = 8,926,757.48/3,291.45
  6. Step 6: Final answer
    x = 2,712.10

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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.