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Finding the Fourth Proportional to 1,856.85, 2,786.98 and 1,164.76

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Solution

The fourth proportional to 1,856.85, 2,786.98 and 1,164.76 is: 1,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.85 : 2,786.98 = 1,164.76 : x
  2. Step 2: Convert to fraction form
    1,856.85/2,786.98 = 1,164.76/x
  3. Step 3: Cross multiply
    1,856.85x = 2,786.98 × 1,164.76
  4. Step 4: Simplify right side
    1,856.85x = 3,246,162.82
  5. Step 5: Solve for x
    x = 3,246,162.82/1,856.85
  6. Step 6: Final answer
    x = 1,748.21

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