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Finding the Fourth Proportional to 1,604.22, 2,402.88 and 1,428.96

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Solution

The fourth proportional to 1,604.22, 2,402.88 and 1,428.96 is: 2,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.22 : 2,402.88 = 1,428.96 : x
  2. Step 2: Convert to fraction form
    1,604.22/2,402.88 = 1,428.96/x
  3. Step 3: Cross multiply
    1,604.22x = 2,402.88 × 1,428.96
  4. Step 4: Simplify right side
    1,604.22x = 3,433,619.40
  5. Step 5: Solve for x
    x = 3,433,619.40/1,604.22
  6. Step 6: Final answer
    x = 2,140.37

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