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Finding the Fourth Proportional to 1,905.12, 2,856.24 and 778.86

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Solution

The fourth proportional to 1,905.12, 2,856.24 and 778.86 is: 1,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.12 : 2,856.24 = 778.86 : x
  2. Step 2: Convert to fraction form
    1,905.12/2,856.24 = 778.86/x
  3. Step 3: Cross multiply
    1,905.12x = 2,856.24 × 778.86
  4. Step 4: Simplify right side
    1,905.12x = 2,224,611.09
  5. Step 5: Solve for x
    x = 2,224,611.09/1,905.12
  6. Step 6: Final answer
    x = 1,167.70

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