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Finding the Fourth Proportional to 2,651.06, 3,976.61 and 1,496.54

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Solution

The fourth proportional to 2,651.06, 3,976.61 and 1,496.54 is: 2,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.06 : 3,976.61 = 1,496.54 : x
  2. Step 2: Convert to fraction form
    2,651.06/3,976.61 = 1,496.54/x
  3. Step 3: Cross multiply
    2,651.06x = 3,976.61 × 1,496.54
  4. Step 4: Simplify right side
    2,651.06x = 5,951,155.93
  5. Step 5: Solve for x
    x = 5,951,155.93/2,651.06
  6. Step 6: Final answer
    x = 2,244.82

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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.