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Finding the Fourth Proportional to 2,106.72, 3,160.88 and 1,865.32

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Solution

The fourth proportional to 2,106.72, 3,160.88 and 1,865.32 is: 2,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.72 : 3,160.88 = 1,865.32 : x
  2. Step 2: Convert to fraction form
    2,106.72/3,160.88 = 1,865.32/x
  3. Step 3: Cross multiply
    2,106.72x = 3,160.88 × 1,865.32
  4. Step 4: Simplify right side
    2,106.72x = 5,896,052.68
  5. Step 5: Solve for x
    x = 5,896,052.68/2,106.72
  6. Step 6: Final answer
    x = 2,798.69

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