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Finding the Fourth Proportional to 1,605.62, 2,405.70 and 1,257.53

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Solution

The fourth proportional to 1,605.62, 2,405.70 and 1,257.53 is: 1,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.62 : 2,405.70 = 1,257.53 : x
  2. Step 2: Convert to fraction form
    1,605.62/2,405.70 = 1,257.53/x
  3. Step 3: Cross multiply
    1,605.62x = 2,405.70 × 1,257.53
  4. Step 4: Simplify right side
    1,605.62x = 3,025,227.89
  5. Step 5: Solve for x
    x = 3,025,227.89/1,605.62
  6. Step 6: Final answer
    x = 1,884.15

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