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Finding the Fourth Proportional to 2,502.10, 3,758.28 and 1,919.80

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Solution

The fourth proportional to 2,502.10, 3,758.28 and 1,919.80 is: 2,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.10 : 3,758.28 = 1,919.80 : x
  2. Step 2: Convert to fraction form
    2,502.10/3,758.28 = 1,919.80/x
  3. Step 3: Cross multiply
    2,502.10x = 3,758.28 × 1,919.80
  4. Step 4: Simplify right side
    2,502.10x = 7,215,145.94
  5. Step 5: Solve for x
    x = 7,215,145.94/2,502.10
  6. Step 6: Final answer
    x = 2,883.64

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