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Finding the Fourth Proportional to 2,561.01, 3,836.50 and 1,329.23

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Solution

The fourth proportional to 2,561.01, 3,836.50 and 1,329.23 is: 1,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.01 : 3,836.50 = 1,329.23 : x
  2. Step 2: Convert to fraction form
    2,561.01/3,836.50 = 1,329.23/x
  3. Step 3: Cross multiply
    2,561.01x = 3,836.50 × 1,329.23
  4. Step 4: Simplify right side
    2,561.01x = 5,099,590.90
  5. Step 5: Solve for x
    x = 5,099,590.90/2,561.01
  6. Step 6: Final answer
    x = 1,991.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.