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Finding the Fourth Proportional to 1,519.78, 2,278.32 and 596.00

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Solution

The fourth proportional to 1,519.78, 2,278.32 and 596.00 is: 893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.78 : 2,278.32 = 596.00 : x
  2. Step 2: Convert to fraction form
    1,519.78/2,278.32 = 596.00/x
  3. Step 3: Cross multiply
    1,519.78x = 2,278.32 × 596.00
  4. Step 4: Simplify right side
    1,519.78x = 1,357,869.37
  5. Step 5: Solve for x
    x = 1,357,869.37/1,519.78
  6. Step 6: Final answer
    x = 893.46

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