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Finding the Fourth Proportional to 2,536.08, 3,804.31 and 687.26

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Solution

The fourth proportional to 2,536.08, 3,804.31 and 687.26 is: 1,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.08 : 3,804.31 = 687.26 : x
  2. Step 2: Convert to fraction form
    2,536.08/3,804.31 = 687.26/x
  3. Step 3: Cross multiply
    2,536.08x = 3,804.31 × 687.26
  4. Step 4: Simplify right side
    2,536.08x = 2,614,550.09
  5. Step 5: Solve for x
    x = 2,614,550.09/2,536.08
  6. Step 6: Final answer
    x = 1,030.94

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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.