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Finding the Fourth Proportional to 2,601.26, 3,902.92 and 1,140.64

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Solution

The fourth proportional to 2,601.26, 3,902.92 and 1,140.64 is: 1,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.26 : 3,902.92 = 1,140.64 : x
  2. Step 2: Convert to fraction form
    2,601.26/3,902.92 = 1,140.64/x
  3. Step 3: Cross multiply
    2,601.26x = 3,902.92 × 1,140.64
  4. Step 4: Simplify right side
    2,601.26x = 4,451,826.67
  5. Step 5: Solve for x
    x = 4,451,826.67/2,601.26
  6. Step 6: Final answer
    x = 1,711.41

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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.