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Finding the Fourth Proportional to 1,213.90, 1,819.77 and 1,029.98

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Solution

The fourth proportional to 1,213.90, 1,819.77 and 1,029.98 is: 1,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.90 : 1,819.77 = 1,029.98 : x
  2. Step 2: Convert to fraction form
    1,213.90/1,819.77 = 1,029.98/x
  3. Step 3: Cross multiply
    1,213.90x = 1,819.77 × 1,029.98
  4. Step 4: Simplify right side
    1,213.90x = 1,874,319.71
  5. Step 5: Solve for x
    x = 1,874,319.71/1,213.90
  6. Step 6: Final answer
    x = 1,544.05

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