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Finding the Fourth Proportional to 2,409.75, 3,617.06 and 1,584.77

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Solution

The fourth proportional to 2,409.75, 3,617.06 and 1,584.77 is: 2,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.75 : 3,617.06 = 1,584.77 : x
  2. Step 2: Convert to fraction form
    2,409.75/3,617.06 = 1,584.77/x
  3. Step 3: Cross multiply
    2,409.75x = 3,617.06 × 1,584.77
  4. Step 4: Simplify right side
    2,409.75x = 5,732,182.17
  5. Step 5: Solve for x
    x = 5,732,182.17/2,409.75
  6. Step 6: Final answer
    x = 2,378.75

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