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Finding the Fourth Proportional to 1,829.20, 2,735.76 and 1,635.76

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Solution

The fourth proportional to 1,829.20, 2,735.76 and 1,635.76 is: 2,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.20 : 2,735.76 = 1,635.76 : x
  2. Step 2: Convert to fraction form
    1,829.20/2,735.76 = 1,635.76/x
  3. Step 3: Cross multiply
    1,829.20x = 2,735.76 × 1,635.76
  4. Step 4: Simplify right side
    1,829.20x = 4,475,046.78
  5. Step 5: Solve for x
    x = 4,475,046.78/1,829.20
  6. Step 6: Final answer
    x = 2,446.45

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