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Finding the Fourth Proportional to 2,296.04, 3,442.14 and 1,600.68

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Solution

The fourth proportional to 2,296.04, 3,442.14 and 1,600.68 is: 2,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.04 : 3,442.14 = 1,600.68 : x
  2. Step 2: Convert to fraction form
    2,296.04/3,442.14 = 1,600.68/x
  3. Step 3: Cross multiply
    2,296.04x = 3,442.14 × 1,600.68
  4. Step 4: Simplify right side
    2,296.04x = 5,509,764.66
  5. Step 5: Solve for x
    x = 5,509,764.66/2,296.04
  6. Step 6: Final answer
    x = 2,399.68

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