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Finding the Fourth Proportional to 1,493.63, 2,240.82 and 519.74

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Solution

The fourth proportional to 1,493.63, 2,240.82 and 519.74 is: 779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.63 : 2,240.82 = 519.74 : x
  2. Step 2: Convert to fraction form
    1,493.63/2,240.82 = 519.74/x
  3. Step 3: Cross multiply
    1,493.63x = 2,240.82 × 519.74
  4. Step 4: Simplify right side
    1,493.63x = 1,164,649.39
  5. Step 5: Solve for x
    x = 1,164,649.39/1,493.63
  6. Step 6: Final answer
    x = 779.74

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