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Finding the Fourth Proportional to 2,629.90, 3,944.46 and 780.67

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Solution

The fourth proportional to 2,629.90, 3,944.46 and 780.67 is: 1,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.90 : 3,944.46 = 780.67 : x
  2. Step 2: Convert to fraction form
    2,629.90/3,944.46 = 780.67/x
  3. Step 3: Cross multiply
    2,629.90x = 3,944.46 × 780.67
  4. Step 4: Simplify right side
    2,629.90x = 3,079,301.87
  5. Step 5: Solve for x
    x = 3,079,301.87/2,629.90
  6. Step 6: Final answer
    x = 1,170.88

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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.