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Finding the Fourth Proportional to 1,664.46, 2,493.32 and 1,005.96

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Solution

The fourth proportional to 1,664.46, 2,493.32 and 1,005.96 is: 1,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.46 : 2,493.32 = 1,005.96 : x
  2. Step 2: Convert to fraction form
    1,664.46/2,493.32 = 1,005.96/x
  3. Step 3: Cross multiply
    1,664.46x = 2,493.32 × 1,005.96
  4. Step 4: Simplify right side
    1,664.46x = 2,508,180.19
  5. Step 5: Solve for x
    x = 2,508,180.19/1,664.46
  6. Step 6: Final answer
    x = 1,506.90

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