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Finding the Fourth Proportional to 1,880.24, 2,819.91 and 784.01

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Solution

The fourth proportional to 1,880.24, 2,819.91 and 784.01 is: 1,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.24 : 2,819.91 = 784.01 : x
  2. Step 2: Convert to fraction form
    1,880.24/2,819.91 = 784.01/x
  3. Step 3: Cross multiply
    1,880.24x = 2,819.91 × 784.01
  4. Step 4: Simplify right side
    1,880.24x = 2,210,844.69
  5. Step 5: Solve for x
    x = 2,210,844.69/1,880.24
  6. Step 6: Final answer
    x = 1,175.83

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