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Finding the Fourth Proportional to 2,629.34, 3,944.76 and 780.46

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Solution

The fourth proportional to 2,629.34, 3,944.76 and 780.46 is: 1,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.34 : 3,944.76 = 780.46 : x
  2. Step 2: Convert to fraction form
    2,629.34/3,944.76 = 780.46/x
  3. Step 3: Cross multiply
    2,629.34x = 3,944.76 × 780.46
  4. Step 4: Simplify right side
    2,629.34x = 3,078,727.39
  5. Step 5: Solve for x
    x = 3,078,727.39/2,629.34
  6. Step 6: Final answer
    x = 1,170.91

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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.