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Finding the Fourth Proportional to 2,978.80, 4,470.36 and 1,032.64

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Solution

The fourth proportional to 2,978.80, 4,470.36 and 1,032.64 is: 1,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.80 : 4,470.36 = 1,032.64 : x
  2. Step 2: Convert to fraction form
    2,978.80/4,470.36 = 1,032.64/x
  3. Step 3: Cross multiply
    2,978.80x = 4,470.36 × 1,032.64
  4. Step 4: Simplify right side
    2,978.80x = 4,616,272.55
  5. Step 5: Solve for x
    x = 4,616,272.55/2,978.80
  6. Step 6: Final answer
    x = 1,549.71

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