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Finding the Fourth Proportional to 2,065.65, 3,100.43 and 1,283.28

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Solution

The fourth proportional to 2,065.65, 3,100.43 and 1,283.28 is: 1,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.65 : 3,100.43 = 1,283.28 : x
  2. Step 2: Convert to fraction form
    2,065.65/3,100.43 = 1,283.28/x
  3. Step 3: Cross multiply
    2,065.65x = 3,100.43 × 1,283.28
  4. Step 4: Simplify right side
    2,065.65x = 3,978,719.81
  5. Step 5: Solve for x
    x = 3,978,719.81/2,065.65
  6. Step 6: Final answer
    x = 1,926.13

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