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Finding the Fourth Proportional to 1,584.39, 2,378.64 and 1,219.44

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Solution

The fourth proportional to 1,584.39, 2,378.64 and 1,219.44 is: 1,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.39 : 2,378.64 = 1,219.44 : x
  2. Step 2: Convert to fraction form
    1,584.39/2,378.64 = 1,219.44/x
  3. Step 3: Cross multiply
    1,584.39x = 2,378.64 × 1,219.44
  4. Step 4: Simplify right side
    1,584.39x = 2,900,608.76
  5. Step 5: Solve for x
    x = 2,900,608.76/1,584.39
  6. Step 6: Final answer
    x = 1,830.74

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