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Finding the Fourth Proportional to 2,664.64, 3,993.20 and 2,080.32

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Solution

The fourth proportional to 2,664.64, 3,993.20 and 2,080.32 is: 3,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.64 : 3,993.20 = 2,080.32 : x
  2. Step 2: Convert to fraction form
    2,664.64/3,993.20 = 2,080.32/x
  3. Step 3: Cross multiply
    2,664.64x = 3,993.20 × 2,080.32
  4. Step 4: Simplify right side
    2,664.64x = 8,307,133.82
  5. Step 5: Solve for x
    x = 8,307,133.82/2,664.64
  6. Step 6: Final answer
    x = 3,117.54

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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.