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Finding the Fourth Proportional to 2,175.88, 3,263.82 and 532.42

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Solution

The fourth proportional to 2,175.88, 3,263.82 and 532.42 is: 798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.88 : 3,263.82 = 532.42 : x
  2. Step 2: Convert to fraction form
    2,175.88/3,263.82 = 532.42/x
  3. Step 3: Cross multiply
    2,175.88x = 3,263.82 × 532.42
  4. Step 4: Simplify right side
    2,175.88x = 1,737,723.04
  5. Step 5: Solve for x
    x = 1,737,723.04/2,175.88
  6. Step 6: Final answer
    x = 798.63

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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.