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Finding the Fourth Proportional to 2,909.75, 4,015.49 and 1,583.47

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Solution

The fourth proportional to 2,909.75, 4,015.49 and 1,583.47 is: 2,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.75 : 4,015.49 = 1,583.47 : x
  2. Step 2: Convert to fraction form
    2,909.75/4,015.49 = 1,583.47/x
  3. Step 3: Cross multiply
    2,909.75x = 4,015.49 × 1,583.47
  4. Step 4: Simplify right side
    2,909.75x = 6,358,389.99
  5. Step 5: Solve for x
    x = 6,358,389.99/2,909.75
  6. Step 6: Final answer
    x = 2,185.21

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