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Finding the Fourth Proportional to 2,584.05, 3,875.40 and 1,762.17

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Solution

The fourth proportional to 2,584.05, 3,875.40 and 1,762.17 is: 2,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.05 : 3,875.40 = 1,762.17 : x
  2. Step 2: Convert to fraction form
    2,584.05/3,875.40 = 1,762.17/x
  3. Step 3: Cross multiply
    2,584.05x = 3,875.40 × 1,762.17
  4. Step 4: Simplify right side
    2,584.05x = 6,829,113.62
  5. Step 5: Solve for x
    x = 6,829,113.62/2,584.05
  6. Step 6: Final answer
    x = 2,642.79

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