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Finding the Fourth Proportional to 1,519.78, 2,280.23 and 595.97

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Solution

The fourth proportional to 1,519.78, 2,280.23 and 595.97 is: 894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.78 : 2,280.23 = 595.97 : x
  2. Step 2: Convert to fraction form
    1,519.78/2,280.23 = 595.97/x
  3. Step 3: Cross multiply
    1,519.78x = 2,280.23 × 595.97
  4. Step 4: Simplify right side
    1,519.78x = 1,358,948.67
  5. Step 5: Solve for x
    x = 1,358,948.67/1,519.78
  6. Step 6: Final answer
    x = 894.17

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