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Finding the Fourth Proportional to 2,978.70, 4,106.82 and 2,128.96

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Solution

The fourth proportional to 2,978.70, 4,106.82 and 2,128.96 is: 2,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.70 : 4,106.82 = 2,128.96 : x
  2. Step 2: Convert to fraction form
    2,978.70/4,106.82 = 2,128.96/x
  3. Step 3: Cross multiply
    2,978.70x = 4,106.82 × 2,128.96
  4. Step 4: Simplify right side
    2,978.70x = 8,743,255.51
  5. Step 5: Solve for x
    x = 8,743,255.51/2,978.70
  6. Step 6: Final answer
    x = 2,935.26

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