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Finding the Fourth Proportional to 2,274.57, 3,410.50 and 886.27

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Solution

The fourth proportional to 2,274.57, 3,410.50 and 886.27 is: 1,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.57 : 3,410.50 = 886.27 : x
  2. Step 2: Convert to fraction form
    2,274.57/3,410.50 = 886.27/x
  3. Step 3: Cross multiply
    2,274.57x = 3,410.50 × 886.27
  4. Step 4: Simplify right side
    2,274.57x = 3,022,623.84
  5. Step 5: Solve for x
    x = 3,022,623.84/2,274.57
  6. Step 6: Final answer
    x = 1,328.88

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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.