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Finding the Fourth Proportional to 3,212, 4,432.59 and 1,814.78

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Solution

The fourth proportional to 3,212, 4,432.59 and 1,814.78 is: 2,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212 : 4,432.59 = 1,814.78 : x
  2. Step 2: Convert to fraction form
    3,212/4,432.59 = 1,814.78/x
  3. Step 3: Cross multiply
    3,212x = 4,432.59 × 1,814.78
  4. Step 4: Simplify right side
    3,212x = 8,044,175.68
  5. Step 5: Solve for x
    x = 8,044,175.68/3,212
  6. Step 6: Final answer
    x = 2,504.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.