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Finding the Fourth Proportional to 2,529.96, 3,794.34 and 798.60

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Solution

The fourth proportional to 2,529.96, 3,794.34 and 798.60 is: 1,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.96 : 3,794.34 = 798.60 : x
  2. Step 2: Convert to fraction form
    2,529.96/3,794.34 = 798.60/x
  3. Step 3: Cross multiply
    2,529.96x = 3,794.34 × 798.60
  4. Step 4: Simplify right side
    2,529.96x = 3,030,159.92
  5. Step 5: Solve for x
    x = 3,030,159.92/2,529.96
  6. Step 6: Final answer
    x = 1,197.71

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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.