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Finding the Fourth Proportional to 2,665.96, 3,996.52 and 933.64

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Solution

The fourth proportional to 2,665.96, 3,996.52 and 933.64 is: 1,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.96 : 3,996.52 = 933.64 : x
  2. Step 2: Convert to fraction form
    2,665.96/3,996.52 = 933.64/x
  3. Step 3: Cross multiply
    2,665.96x = 3,996.52 × 933.64
  4. Step 4: Simplify right side
    2,665.96x = 3,731,310.93
  5. Step 5: Solve for x
    x = 3,731,310.93/2,665.96
  6. Step 6: Final answer
    x = 1,399.61

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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.