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Finding the Fourth Proportional to 2,536.22, 3,804.60 and 687.26

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Solution

The fourth proportional to 2,536.22, 3,804.60 and 687.26 is: 1,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.22 : 3,804.60 = 687.26 : x
  2. Step 2: Convert to fraction form
    2,536.22/3,804.60 = 687.26/x
  3. Step 3: Cross multiply
    2,536.22x = 3,804.60 × 687.26
  4. Step 4: Simplify right side
    2,536.22x = 2,614,749.40
  5. Step 5: Solve for x
    x = 2,614,749.40/2,536.22
  6. Step 6: Final answer
    x = 1,030.96

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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.