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Finding the Fourth Proportional to 2,564.76, 3,845.81 and 1,176.90

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Solution

The fourth proportional to 2,564.76, 3,845.81 and 1,176.90 is: 1,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.76 : 3,845.81 = 1,176.90 : x
  2. Step 2: Convert to fraction form
    2,564.76/3,845.81 = 1,176.90/x
  3. Step 3: Cross multiply
    2,564.76x = 3,845.81 × 1,176.90
  4. Step 4: Simplify right side
    2,564.76x = 4,526,127.90
  5. Step 5: Solve for x
    x = 4,526,127.90/2,564.76
  6. Step 6: Final answer
    x = 1,764.74

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