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Finding the Fourth Proportional to 2,629.41, 3,944.68 and 780.65

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Solution

The fourth proportional to 2,629.41, 3,944.68 and 780.65 is: 1,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.41 : 3,944.68 = 780.65 : x
  2. Step 2: Convert to fraction form
    2,629.41/3,944.68 = 780.65/x
  3. Step 3: Cross multiply
    2,629.41x = 3,944.68 × 780.65
  4. Step 4: Simplify right side
    2,629.41x = 3,079,407.56
  5. Step 5: Solve for x
    x = 3,079,407.56/2,629.41
  6. Step 6: Final answer
    x = 1,171.14

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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.