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Finding the Fourth Proportional to 2,536.07, 3,802.55 and 892.80

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Solution

The fourth proportional to 2,536.07, 3,802.55 and 892.80 is: 1,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.07 : 3,802.55 = 892.80 : x
  2. Step 2: Convert to fraction form
    2,536.07/3,802.55 = 892.80/x
  3. Step 3: Cross multiply
    2,536.07x = 3,802.55 × 892.80
  4. Step 4: Simplify right side
    2,536.07x = 3,394,912.18
  5. Step 5: Solve for x
    x = 3,394,912.18/2,536.07
  6. Step 6: Final answer
    x = 1,338.65

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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.