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Finding the Fourth Proportional to 2,176.88, 3,265.32 and 533.42

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Solution

The fourth proportional to 2,176.88, 3,265.32 and 533.42 is: 800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.88 : 3,265.32 = 533.42 : x
  2. Step 2: Convert to fraction form
    2,176.88/3,265.32 = 533.42/x
  3. Step 3: Cross multiply
    2,176.88x = 3,265.32 × 533.42
  4. Step 4: Simplify right side
    2,176.88x = 1,741,786.99
  5. Step 5: Solve for x
    x = 1,741,786.99/2,176.88
  6. Step 6: Final answer
    x = 800.13

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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.