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Finding the Fourth Proportional to 1,983, 2,975.22 and 1,823.16

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Solution

The fourth proportional to 1,983, 2,975.22 and 1,823.16 is: 2,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983 : 2,975.22 = 1,823.16 : x
  2. Step 2: Convert to fraction form
    1,983/2,975.22 = 1,823.16/x
  3. Step 3: Cross multiply
    1,983x = 2,975.22 × 1,823.16
  4. Step 4: Simplify right side
    1,983x = 5,424,302.10
  5. Step 5: Solve for x
    x = 5,424,302.10/1,983
  6. Step 6: Final answer
    x = 2,735.40

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