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Finding the Fourth Proportional to 1,620.16, 2,428.19 and 1,400.78

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Solution

The fourth proportional to 1,620.16, 2,428.19 and 1,400.78 is: 2,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.16 : 2,428.19 = 1,400.78 : x
  2. Step 2: Convert to fraction form
    1,620.16/2,428.19 = 1,400.78/x
  3. Step 3: Cross multiply
    1,620.16x = 2,428.19 × 1,400.78
  4. Step 4: Simplify right side
    1,620.16x = 3,401,352.98
  5. Step 5: Solve for x
    x = 3,401,352.98/1,620.16
  6. Step 6: Final answer
    x = 2,099.40

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