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Finding the Fourth Proportional to 2,135.78, 2,947.80 and 1,191.86

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Solution

The fourth proportional to 2,135.78, 2,947.80 and 1,191.86 is: 1,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.78 : 2,947.80 = 1,191.86 : x
  2. Step 2: Convert to fraction form
    2,135.78/2,947.80 = 1,191.86/x
  3. Step 3: Cross multiply
    2,135.78x = 2,947.80 × 1,191.86
  4. Step 4: Simplify right side
    2,135.78x = 3,513,364.91
  5. Step 5: Solve for x
    x = 3,513,364.91/2,135.78
  6. Step 6: Final answer
    x = 1,645.00

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