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Finding the Fourth Proportional to 2,140.86, 3,206.75 and 1,397.85

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Solution

The fourth proportional to 2,140.86, 3,206.75 and 1,397.85 is: 2,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.86 : 3,206.75 = 1,397.85 : x
  2. Step 2: Convert to fraction form
    2,140.86/3,206.75 = 1,397.85/x
  3. Step 3: Cross multiply
    2,140.86x = 3,206.75 × 1,397.85
  4. Step 4: Simplify right side
    2,140.86x = 4,482,539.45
  5. Step 5: Solve for x
    x = 4,482,539.45/2,140.86
  6. Step 6: Final answer
    x = 2,093.80

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