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Finding the Fourth Proportional to 2,536.43, 3,804.65 and 804.92

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Solution

The fourth proportional to 2,536.43, 3,804.65 and 804.92 is: 1,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.43 : 3,804.65 = 804.92 : x
  2. Step 2: Convert to fraction form
    2,536.43/3,804.65 = 804.92/x
  3. Step 3: Cross multiply
    2,536.43x = 3,804.65 × 804.92
  4. Step 4: Simplify right side
    2,536.43x = 3,062,438.88
  5. Step 5: Solve for x
    x = 3,062,438.88/2,536.43
  6. Step 6: Final answer
    x = 1,207.38

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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.