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Finding the Fourth Proportional to 2,384.13, 3,576.71 and 978.55

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Solution

The fourth proportional to 2,384.13, 3,576.71 and 978.55 is: 1,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.13 : 3,576.71 = 978.55 : x
  2. Step 2: Convert to fraction form
    2,384.13/3,576.71 = 978.55/x
  3. Step 3: Cross multiply
    2,384.13x = 3,576.71 × 978.55
  4. Step 4: Simplify right side
    2,384.13x = 3,499,989.57
  5. Step 5: Solve for x
    x = 3,499,989.57/2,384.13
  6. Step 6: Final answer
    x = 1,468.04

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