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Finding the Fourth Proportional to 2,601.96, 3,901.92 and 1,140.09

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Solution

The fourth proportional to 2,601.96, 3,901.92 and 1,140.09 is: 1,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.96 : 3,901.92 = 1,140.09 : x
  2. Step 2: Convert to fraction form
    2,601.96/3,901.92 = 1,140.09/x
  3. Step 3: Cross multiply
    2,601.96x = 3,901.92 × 1,140.09
  4. Step 4: Simplify right side
    2,601.96x = 4,448,539.97
  5. Step 5: Solve for x
    x = 4,448,539.97/2,601.96
  6. Step 6: Final answer
    x = 1,709.69

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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.