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Finding the Fourth Proportional to 1,519.99, 2,280.23 and 493.75

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Solution

The fourth proportional to 1,519.99, 2,280.23 and 493.75 is: 740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.99 : 2,280.23 = 493.75 : x
  2. Step 2: Convert to fraction form
    1,519.99/2,280.23 = 493.75/x
  3. Step 3: Cross multiply
    1,519.99x = 2,280.23 × 493.75
  4. Step 4: Simplify right side
    1,519.99x = 1,125,863.56
  5. Step 5: Solve for x
    x = 1,125,863.56/1,519.99
  6. Step 6: Final answer
    x = 740.70

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