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Finding the Fourth Proportional to 2,274.97, 3,412.87 and 794.41

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Solution

The fourth proportional to 2,274.97, 3,412.87 and 794.41 is: 1,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.97 : 3,412.87 = 794.41 : x
  2. Step 2: Convert to fraction form
    2,274.97/3,412.87 = 794.41/x
  3. Step 3: Cross multiply
    2,274.97x = 3,412.87 × 794.41
  4. Step 4: Simplify right side
    2,274.97x = 2,711,226.74
  5. Step 5: Solve for x
    x = 2,711,226.74/2,274.97
  6. Step 6: Final answer
    x = 1,191.76

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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.