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Finding the Fourth Proportional to 1,837.59, 2,534.90 and 1,164.21

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Solution

The fourth proportional to 1,837.59, 2,534.90 and 1,164.21 is: 1,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.59 : 2,534.90 = 1,164.21 : x
  2. Step 2: Convert to fraction form
    1,837.59/2,534.90 = 1,164.21/x
  3. Step 3: Cross multiply
    1,837.59x = 2,534.90 × 1,164.21
  4. Step 4: Simplify right side
    1,837.59x = 2,951,156.27
  5. Step 5: Solve for x
    x = 2,951,156.27/1,837.59
  6. Step 6: Final answer
    x = 1,605.99

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