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Finding the Fourth Proportional to 2,419.42, 3,629.13 and 1,602.88

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Solution

The fourth proportional to 2,419.42, 3,629.13 and 1,602.88 is: 2,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.42 : 3,629.13 = 1,602.88 : x
  2. Step 2: Convert to fraction form
    2,419.42/3,629.13 = 1,602.88/x
  3. Step 3: Cross multiply
    2,419.42x = 3,629.13 × 1,602.88
  4. Step 4: Simplify right side
    2,419.42x = 5,817,059.89
  5. Step 5: Solve for x
    x = 5,817,059.89/2,419.42
  6. Step 6: Final answer
    x = 2,404.32

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