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Finding the Fourth Proportional to 2,175.86, 3,263.84 and 532.42

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Solution

The fourth proportional to 2,175.86, 3,263.84 and 532.42 is: 798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.86 : 3,263.84 = 532.42 : x
  2. Step 2: Convert to fraction form
    2,175.86/3,263.84 = 532.42/x
  3. Step 3: Cross multiply
    2,175.86x = 3,263.84 × 532.42
  4. Step 4: Simplify right side
    2,175.86x = 1,737,733.69
  5. Step 5: Solve for x
    x = 1,737,733.69/2,175.86
  6. Step 6: Final answer
    x = 798.64

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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.