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Finding the Fourth Proportional to 1,829.76, 2,523.84 and 1,609.20

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Solution

The fourth proportional to 1,829.76, 2,523.84 and 1,609.20 is: 2,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.76 : 2,523.84 = 1,609.20 : x
  2. Step 2: Convert to fraction form
    1,829.76/2,523.84 = 1,609.20/x
  3. Step 3: Cross multiply
    1,829.76x = 2,523.84 × 1,609.20
  4. Step 4: Simplify right side
    1,829.76x = 4,061,363.33
  5. Step 5: Solve for x
    x = 4,061,363.33/1,829.76
  6. Step 6: Final answer
    x = 2,219.62

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