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Finding the Fourth Proportional to 1,492, 2,238.08 and 1,057.92

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Solution

The fourth proportional to 1,492, 2,238.08 and 1,057.92 is: 1,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492 : 2,238.08 = 1,057.92 : x
  2. Step 2: Convert to fraction form
    1,492/2,238.08 = 1,057.92/x
  3. Step 3: Cross multiply
    1,492x = 2,238.08 × 1,057.92
  4. Step 4: Simplify right side
    1,492x = 2,367,709.59
  5. Step 5: Solve for x
    x = 2,367,709.59/1,492
  6. Step 6: Final answer
    x = 1,586.94

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