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Finding the Fourth Proportional to 2,741.86, 4,106.64 and 2,123.70

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Solution

The fourth proportional to 2,741.86, 4,106.64 and 2,123.70 is: 3,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.86 : 4,106.64 = 2,123.70 : x
  2. Step 2: Convert to fraction form
    2,741.86/4,106.64 = 2,123.70/x
  3. Step 3: Cross multiply
    2,741.86x = 4,106.64 × 2,123.70
  4. Step 4: Simplify right side
    2,741.86x = 8,721,250.83
  5. Step 5: Solve for x
    x = 8,721,250.83/2,741.86
  6. Step 6: Final answer
    x = 3,180.78

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