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Finding the Fourth Proportional to 2,643.78, 3,964.51 and 794.55

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Solution

The fourth proportional to 2,643.78, 3,964.51 and 794.55 is: 1,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.78 : 3,964.51 = 794.55 : x
  2. Step 2: Convert to fraction form
    2,643.78/3,964.51 = 794.55/x
  3. Step 3: Cross multiply
    2,643.78x = 3,964.51 × 794.55
  4. Step 4: Simplify right side
    2,643.78x = 3,150,001.42
  5. Step 5: Solve for x
    x = 3,150,001.42/2,643.78
  6. Step 6: Final answer
    x = 1,191.48

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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.