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Finding the Fourth Proportional to 2,584.05, 3,875.81 and 2,431.77

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Solution

The fourth proportional to 2,584.05, 3,875.81 and 2,431.77 is: 3,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.05 : 3,875.81 = 2,431.77 : x
  2. Step 2: Convert to fraction form
    2,584.05/3,875.81 = 2,431.77/x
  3. Step 3: Cross multiply
    2,584.05x = 3,875.81 × 2,431.77
  4. Step 4: Simplify right side
    2,584.05x = 9,425,066.32
  5. Step 5: Solve for x
    x = 9,425,066.32/2,584.05
  6. Step 6: Final answer
    x = 3,647.40

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