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Finding the Fourth Proportional to 2,250, 3,375 and 882

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Solution

The fourth proportional to 2,250, 3,375 and 882 is: 1,323

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250 : 3,375 = 882 : x
  2. Step 2: Convert to fraction form
    2,250/3,375 = 882/x
  3. Step 3: Cross multiply
    2,250x = 3,375 × 882
  4. Step 4: Simplify right side
    2,250x = 2,976,750
  5. Step 5: Solve for x
    x = 2,976,750/2,250
  6. Step 6: Final answer
    x = 1,323

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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.