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Finding the Fourth Proportional to 2,643.13, 3,964.77 and 794.29

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Solution

The fourth proportional to 2,643.13, 3,964.77 and 794.29 is: 1,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.13 : 3,964.77 = 794.29 : x
  2. Step 2: Convert to fraction form
    2,643.13/3,964.77 = 794.29/x
  3. Step 3: Cross multiply
    2,643.13x = 3,964.77 × 794.29
  4. Step 4: Simplify right side
    2,643.13x = 3,149,177.16
  5. Step 5: Solve for x
    x = 3,149,177.16/2,643.13
  6. Step 6: Final answer
    x = 1,191.46

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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.