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Finding the Fourth Proportional to 2,584.31, 3,875.09 and 1,762.81

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Solution

The fourth proportional to 2,584.31, 3,875.09 and 1,762.81 is: 2,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.31 : 3,875.09 = 1,762.81 : x
  2. Step 2: Convert to fraction form
    2,584.31/3,875.09 = 1,762.81/x
  3. Step 3: Cross multiply
    2,584.31x = 3,875.09 × 1,762.81
  4. Step 4: Simplify right side
    2,584.31x = 6,831,060.61
  5. Step 5: Solve for x
    x = 6,831,060.61/2,584.31
  6. Step 6: Final answer
    x = 2,643.29

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