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Finding the Fourth Proportional to 1,606.64, 2,405.70 and 1,387.94

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Solution

The fourth proportional to 1,606.64, 2,405.70 and 1,387.94 is: 2,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.64 : 2,405.70 = 1,387.94 : x
  2. Step 2: Convert to fraction form
    1,606.64/2,405.70 = 1,387.94/x
  3. Step 3: Cross multiply
    1,606.64x = 2,405.70 × 1,387.94
  4. Step 4: Simplify right side
    1,606.64x = 3,338,955.23
  5. Step 5: Solve for x
    x = 3,338,955.23/1,606.64
  6. Step 6: Final answer
    x = 2,078.23

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