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Finding the Fourth Proportional to 1,300.18, 1,949.66 and 1,052.78

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Solution

The fourth proportional to 1,300.18, 1,949.66 and 1,052.78 is: 1,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.18 : 1,949.66 = 1,052.78 : x
  2. Step 2: Convert to fraction form
    1,300.18/1,949.66 = 1,052.78/x
  3. Step 3: Cross multiply
    1,300.18x = 1,949.66 × 1,052.78
  4. Step 4: Simplify right side
    1,300.18x = 2,052,553.31
  5. Step 5: Solve for x
    x = 2,052,553.31/1,300.18
  6. Step 6: Final answer
    x = 1,578.67

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