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Finding the Fourth Proportional to 4,097.61, 6,142.66 and 1,600.48

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Solution

The fourth proportional to 4,097.61, 6,142.66 and 1,600.48 is: 2,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.61 : 6,142.66 = 1,600.48 : x
  2. Step 2: Convert to fraction form
    4,097.61/6,142.66 = 1,600.48/x
  3. Step 3: Cross multiply
    4,097.61x = 6,142.66 × 1,600.48
  4. Step 4: Simplify right side
    4,097.61x = 9,831,204.48
  5. Step 5: Solve for x
    x = 9,831,204.48/4,097.61
  6. Step 6: Final answer
    x = 2,399.25

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