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Finding the Fourth Proportional to 2,875.82, 3,968.68 and 1,599.80

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Solution

The fourth proportional to 2,875.82, 3,968.68 and 1,599.80 is: 2,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.82 : 3,968.68 = 1,599.80 : x
  2. Step 2: Convert to fraction form
    2,875.82/3,968.68 = 1,599.80/x
  3. Step 3: Cross multiply
    2,875.82x = 3,968.68 × 1,599.80
  4. Step 4: Simplify right side
    2,875.82x = 6,349,090.48
  5. Step 5: Solve for x
    x = 6,349,090.48/2,875.82
  6. Step 6: Final answer
    x = 2,207.75

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