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Finding the Fourth Proportional to 2,065.68, 3,099.60 and 1,946.16

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Solution

The fourth proportional to 2,065.68, 3,099.60 and 1,946.16 is: 2,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.68 : 3,099.60 = 1,946.16 : x
  2. Step 2: Convert to fraction form
    2,065.68/3,099.60 = 1,946.16/x
  3. Step 3: Cross multiply
    2,065.68x = 3,099.60 × 1,946.16
  4. Step 4: Simplify right side
    2,065.68x = 6,032,317.54
  5. Step 5: Solve for x
    x = 6,032,317.54/2,065.68
  6. Step 6: Final answer
    x = 2,920.26

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