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Finding the Fourth Proportional to 2,176.68, 3,265 and 533.22

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Solution

The fourth proportional to 2,176.68, 3,265 and 533.22 is: 799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.68 : 3,265 = 533.22 : x
  2. Step 2: Convert to fraction form
    2,176.68/3,265 = 533.22/x
  3. Step 3: Cross multiply
    2,176.68x = 3,265 × 533.22
  4. Step 4: Simplify right side
    2,176.68x = 1,740,963.30
  5. Step 5: Solve for x
    x = 1,740,963.30/2,176.68
  6. Step 6: Final answer
    x = 799.83

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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.