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Finding the Fourth Proportional to 2,782.71, 4,175.76 and 1,614.99

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Solution

The fourth proportional to 2,782.71, 4,175.76 and 1,614.99 is: 2,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.71 : 4,175.76 = 1,614.99 : x
  2. Step 2: Convert to fraction form
    2,782.71/4,175.76 = 1,614.99/x
  3. Step 3: Cross multiply
    2,782.71x = 4,175.76 × 1,614.99
  4. Step 4: Simplify right side
    2,782.71x = 6,743,810.64
  5. Step 5: Solve for x
    x = 6,743,810.64/2,782.71
  6. Step 6: Final answer
    x = 2,423.47

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