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Finding the Fourth Proportional to 2,645.42, 3,966.84 and 796.19

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Solution

The fourth proportional to 2,645.42, 3,966.84 and 796.19 is: 1,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.42 : 3,966.84 = 796.19 : x
  2. Step 2: Convert to fraction form
    2,645.42/3,966.84 = 796.19/x
  3. Step 3: Cross multiply
    2,645.42x = 3,966.84 × 796.19
  4. Step 4: Simplify right side
    2,645.42x = 3,158,334.52
  5. Step 5: Solve for x
    x = 3,158,334.52/2,645.42
  6. Step 6: Final answer
    x = 1,193.89

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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.