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Finding the Fourth Proportional to 2,643.09, 3,964.49 and 794.17

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Solution

The fourth proportional to 2,643.09, 3,964.49 and 794.17 is: 1,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.09 : 3,964.49 = 794.17 : x
  2. Step 2: Convert to fraction form
    2,643.09/3,964.49 = 794.17/x
  3. Step 3: Cross multiply
    2,643.09x = 3,964.49 × 794.17
  4. Step 4: Simplify right side
    2,643.09x = 3,148,468.12
  5. Step 5: Solve for x
    x = 3,148,468.12/2,643.09
  6. Step 6: Final answer
    x = 1,191.21

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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.