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Finding the Fourth Proportional to 2,026.59, 3,037.97 and 794.79

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Solution

The fourth proportional to 2,026.59, 3,037.97 and 794.79 is: 1,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.59 : 3,037.97 = 794.79 : x
  2. Step 2: Convert to fraction form
    2,026.59/3,037.97 = 794.79/x
  3. Step 3: Cross multiply
    2,026.59x = 3,037.97 × 794.79
  4. Step 4: Simplify right side
    2,026.59x = 2,414,544.20
  5. Step 5: Solve for x
    x = 2,414,544.20/2,026.59
  6. Step 6: Final answer
    x = 1,191.43

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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.