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Finding the Fourth Proportional to 1,405.70, 2,112.60 and 1,381.40

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Solution

The fourth proportional to 1,405.70, 2,112.60 and 1,381.40 is: 2,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.70 : 2,112.60 = 1,381.40 : x
  2. Step 2: Convert to fraction form
    1,405.70/2,112.60 = 1,381.40/x
  3. Step 3: Cross multiply
    1,405.70x = 2,112.60 × 1,381.40
  4. Step 4: Simplify right side
    1,405.70x = 2,918,345.64
  5. Step 5: Solve for x
    x = 2,918,345.64/1,405.70
  6. Step 6: Final answer
    x = 2,076.08

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