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Finding the Fourth Proportional to 3,042.80, 4,562.40 and 1,584.80

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Solution

The fourth proportional to 3,042.80, 4,562.40 and 1,584.80 is: 2,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.80 : 4,562.40 = 1,584.80 : x
  2. Step 2: Convert to fraction form
    3,042.80/4,562.40 = 1,584.80/x
  3. Step 3: Cross multiply
    3,042.80x = 4,562.40 × 1,584.80
  4. Step 4: Simplify right side
    3,042.80x = 7,230,491.52
  5. Step 5: Solve for x
    x = 7,230,491.52/3,042.80
  6. Step 6: Final answer
    x = 2,376.26

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