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Finding the Fourth Proportional to 2,536.09, 3,804.14 and 892.78

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Solution

The fourth proportional to 2,536.09, 3,804.14 and 892.78 is: 1,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.09 : 3,804.14 = 892.78 : x
  2. Step 2: Convert to fraction form
    2,536.09/3,804.14 = 892.78/x
  3. Step 3: Cross multiply
    2,536.09x = 3,804.14 × 892.78
  4. Step 4: Simplify right side
    2,536.09x = 3,396,260.11
  5. Step 5: Solve for x
    x = 3,396,260.11/2,536.09
  6. Step 6: Final answer
    x = 1,339.17

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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.