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Finding the Fourth Proportional to 1,753.50, 2,420.80 and 1,164.84

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Solution

The fourth proportional to 1,753.50, 2,420.80 and 1,164.84 is: 1,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.50 : 2,420.80 = 1,164.84 : x
  2. Step 2: Convert to fraction form
    1,753.50/2,420.80 = 1,164.84/x
  3. Step 3: Cross multiply
    1,753.50x = 2,420.80 × 1,164.84
  4. Step 4: Simplify right side
    1,753.50x = 2,819,844.67
  5. Step 5: Solve for x
    x = 2,819,844.67/1,753.50
  6. Step 6: Final answer
    x = 1,608.12

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