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Finding the Fourth Proportional to 1,223.55, 1,837.14 and 1,187.10

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Solution

The fourth proportional to 1,223.55, 1,837.14 and 1,187.10 is: 1,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.55 : 1,837.14 = 1,187.10 : x
  2. Step 2: Convert to fraction form
    1,223.55/1,837.14 = 1,187.10/x
  3. Step 3: Cross multiply
    1,223.55x = 1,837.14 × 1,187.10
  4. Step 4: Simplify right side
    1,223.55x = 2,180,868.89
  5. Step 5: Solve for x
    x = 2,180,868.89/1,223.55
  6. Step 6: Final answer
    x = 1,782.41

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