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Finding the Fourth Proportional to 1,913.76, 2,641.20 and 1,167.84

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Solution

The fourth proportional to 1,913.76, 2,641.20 and 1,167.84 is: 1,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.76 : 2,641.20 = 1,167.84 : x
  2. Step 2: Convert to fraction form
    1,913.76/2,641.20 = 1,167.84/x
  3. Step 3: Cross multiply
    1,913.76x = 2,641.20 × 1,167.84
  4. Step 4: Simplify right side
    1,913.76x = 3,084,499.01
  5. Step 5: Solve for x
    x = 3,084,499.01/1,913.76
  6. Step 6: Final answer
    x = 1,611.75

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