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Finding the Fourth Proportional to 1,219.55, 1,826.58 and 1,178.54

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Solution

The fourth proportional to 1,219.55, 1,826.58 and 1,178.54 is: 1,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.55 : 1,826.58 = 1,178.54 : x
  2. Step 2: Convert to fraction form
    1,219.55/1,826.58 = 1,178.54/x
  3. Step 3: Cross multiply
    1,219.55x = 1,826.58 × 1,178.54
  4. Step 4: Simplify right side
    1,219.55x = 2,152,688.46
  5. Step 5: Solve for x
    x = 2,152,688.46/1,219.55
  6. Step 6: Final answer
    x = 1,765.16

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