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Finding the Fourth Proportional to 1,858.40, 2,786.80 and 1,314.08

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Solution

The fourth proportional to 1,858.40, 2,786.80 and 1,314.08 is: 1,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.40 : 2,786.80 = 1,314.08 : x
  2. Step 2: Convert to fraction form
    1,858.40/2,786.80 = 1,314.08/x
  3. Step 3: Cross multiply
    1,858.40x = 2,786.80 × 1,314.08
  4. Step 4: Simplify right side
    1,858.40x = 3,662,078.14
  5. Step 5: Solve for x
    x = 3,662,078.14/1,858.40
  6. Step 6: Final answer
    x = 1,970.55

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