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Finding the Fourth Proportional to 2,978.32, 4,462.87 and 1,128.43

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Solution

The fourth proportional to 2,978.32, 4,462.87 and 1,128.43 is: 1,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.32 : 4,462.87 = 1,128.43 : x
  2. Step 2: Convert to fraction form
    2,978.32/4,462.87 = 1,128.43/x
  3. Step 3: Cross multiply
    2,978.32x = 4,462.87 × 1,128.43
  4. Step 4: Simplify right side
    2,978.32x = 5,036,044.44
  5. Step 5: Solve for x
    x = 5,036,044.44/2,978.32
  6. Step 6: Final answer
    x = 1,690.90

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