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Finding the Fourth Proportional to 2,274.91, 3,412.67 and 794.43

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Solution

The fourth proportional to 2,274.91, 3,412.67 and 794.43 is: 1,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.91 : 3,412.67 = 794.43 : x
  2. Step 2: Convert to fraction form
    2,274.91/3,412.67 = 794.43/x
  3. Step 3: Cross multiply
    2,274.91x = 3,412.67 × 794.43
  4. Step 4: Simplify right side
    2,274.91x = 2,711,123.46
  5. Step 5: Solve for x
    x = 2,711,123.46/2,274.91
  6. Step 6: Final answer
    x = 1,191.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.