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Finding the Fourth Proportional to 2,665.37, 3,997.92 and 2,585.18

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Solution

The fourth proportional to 2,665.37, 3,997.92 and 2,585.18 is: 3,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.37 : 3,997.92 = 2,585.18 : x
  2. Step 2: Convert to fraction form
    2,665.37/3,997.92 = 2,585.18/x
  3. Step 3: Cross multiply
    2,665.37x = 3,997.92 × 2,585.18
  4. Step 4: Simplify right side
    2,665.37x = 10,335,342.83
  5. Step 5: Solve for x
    x = 10,335,342.83/2,665.37
  6. Step 6: Final answer
    x = 3,877.64

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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.