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Finding the Fourth Proportional to 1,837.98, 2,752.09 and 1,106.55

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Solution

The fourth proportional to 1,837.98, 2,752.09 and 1,106.55 is: 1,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.98 : 2,752.09 = 1,106.55 : x
  2. Step 2: Convert to fraction form
    1,837.98/2,752.09 = 1,106.55/x
  3. Step 3: Cross multiply
    1,837.98x = 2,752.09 × 1,106.55
  4. Step 4: Simplify right side
    1,837.98x = 3,045,325.19
  5. Step 5: Solve for x
    x = 3,045,325.19/1,837.98
  6. Step 6: Final answer
    x = 1,656.89

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