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Finding the Fourth Proportional to 1,738.56, 2,609.10 and 1,007.40

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Solution

The fourth proportional to 1,738.56, 2,609.10 and 1,007.40 is: 1,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.56 : 2,609.10 = 1,007.40 : x
  2. Step 2: Convert to fraction form
    1,738.56/2,609.10 = 1,007.40/x
  3. Step 3: Cross multiply
    1,738.56x = 2,609.10 × 1,007.40
  4. Step 4: Simplify right side
    1,738.56x = 2,628,407.34
  5. Step 5: Solve for x
    x = 2,628,407.34/1,738.56
  6. Step 6: Final answer
    x = 1,511.83

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