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Finding the Fourth Proportional to 1,738.48, 2,607.84 and 1,007.80

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Solution

The fourth proportional to 1,738.48, 2,607.84 and 1,007.80 is: 1,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.48 : 2,607.84 = 1,007.80 : x
  2. Step 2: Convert to fraction form
    1,738.48/2,607.84 = 1,007.80/x
  3. Step 3: Cross multiply
    1,738.48x = 2,607.84 × 1,007.80
  4. Step 4: Simplify right side
    1,738.48x = 2,628,181.15
  5. Step 5: Solve for x
    x = 2,628,181.15/1,738.48
  6. Step 6: Final answer
    x = 1,511.77

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