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Finding the Fourth Proportional to 2,271, 3,406.50 and 732

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Solution

The fourth proportional to 2,271, 3,406.50 and 732 is: 1,098

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271 : 3,406.50 = 732 : x
  2. Step 2: Convert to fraction form
    2,271/3,406.50 = 732/x
  3. Step 3: Cross multiply
    2,271x = 3,406.50 × 732
  4. Step 4: Simplify right side
    2,271x = 2,493,558
  5. Step 5: Solve for x
    x = 2,493,558/2,271
  6. Step 6: Final answer
    x = 1,098

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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.