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Finding the Fourth Proportional to 1,211.64, 1,819.86 and 1,038.24

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Solution

The fourth proportional to 1,211.64, 1,819.86 and 1,038.24 is: 1,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.64 : 1,819.86 = 1,038.24 : x
  2. Step 2: Convert to fraction form
    1,211.64/1,819.86 = 1,038.24/x
  3. Step 3: Cross multiply
    1,211.64x = 1,819.86 × 1,038.24
  4. Step 4: Simplify right side
    1,211.64x = 1,889,451.45
  5. Step 5: Solve for x
    x = 1,889,451.45/1,211.64
  6. Step 6: Final answer
    x = 1,559.42

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