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Finding the Fourth Proportional to 2,643.29, 3,965.14 and 794.55

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Solution

The fourth proportional to 2,643.29, 3,965.14 and 794.55 is: 1,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.29 : 3,965.14 = 794.55 : x
  2. Step 2: Convert to fraction form
    2,643.29/3,965.14 = 794.55/x
  3. Step 3: Cross multiply
    2,643.29x = 3,965.14 × 794.55
  4. Step 4: Simplify right side
    2,643.29x = 3,150,513.38
  5. Step 5: Solve for x
    x = 3,150,513.38/2,643.29
  6. Step 6: Final answer
    x = 1,191.89

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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.