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Finding the Fourth Proportional to 2,135.89, 3,201.63 and 819.28

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Solution

The fourth proportional to 2,135.89, 3,201.63 and 819.28 is: 1,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.89 : 3,201.63 = 819.28 : x
  2. Step 2: Convert to fraction form
    2,135.89/3,201.63 = 819.28/x
  3. Step 3: Cross multiply
    2,135.89x = 3,201.63 × 819.28
  4. Step 4: Simplify right side
    2,135.89x = 2,623,031.43
  5. Step 5: Solve for x
    x = 2,623,031.43/2,135.89
  6. Step 6: Final answer
    x = 1,228.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.