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Finding the Fourth Proportional to 1,880.80, 2,819.76 and 1,687.84

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Solution

The fourth proportional to 1,880.80, 2,819.76 and 1,687.84 is: 2,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.80 : 2,819.76 = 1,687.84 : x
  2. Step 2: Convert to fraction form
    1,880.80/2,819.76 = 1,687.84/x
  3. Step 3: Cross multiply
    1,880.80x = 2,819.76 × 1,687.84
  4. Step 4: Simplify right side
    1,880.80x = 4,759,303.72
  5. Step 5: Solve for x
    x = 4,759,303.72/1,880.80
  6. Step 6: Final answer
    x = 2,530.47

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