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Finding the Fourth Proportional to 1,605.12, 2,405.04 and 1,214.58

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Solution

The fourth proportional to 1,605.12, 2,405.04 and 1,214.58 is: 1,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.12 : 2,405.04 = 1,214.58 : x
  2. Step 2: Convert to fraction form
    1,605.12/2,405.04 = 1,214.58/x
  3. Step 3: Cross multiply
    1,605.12x = 2,405.04 × 1,214.58
  4. Step 4: Simplify right side
    1,605.12x = 2,921,113.48
  5. Step 5: Solve for x
    x = 2,921,113.48/1,605.12
  6. Step 6: Final answer
    x = 1,819.87

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