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Finding the Fourth Proportional to 2,274, 3,384.96 and 2,167.80

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Solution

The fourth proportional to 2,274, 3,384.96 and 2,167.80 is: 3,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274 : 3,384.96 = 2,167.80 : x
  2. Step 2: Convert to fraction form
    2,274/3,384.96 = 2,167.80/x
  3. Step 3: Cross multiply
    2,274x = 3,384.96 × 2,167.80
  4. Step 4: Simplify right side
    2,274x = 7,337,916.29
  5. Step 5: Solve for x
    x = 7,337,916.29/2,274
  6. Step 6: Final answer
    x = 3,226.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.