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Finding the Fourth Proportional to 1,824.28, 2,734.59 and 653.96

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Solution

The fourth proportional to 1,824.28, 2,734.59 and 653.96 is: 980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.28 : 2,734.59 = 653.96 : x
  2. Step 2: Convert to fraction form
    1,824.28/2,734.59 = 653.96/x
  3. Step 3: Cross multiply
    1,824.28x = 2,734.59 × 653.96
  4. Step 4: Simplify right side
    1,824.28x = 1,788,312.48
  5. Step 5: Solve for x
    x = 1,788,312.48/1,824.28
  6. Step 6: Final answer
    x = 980.29

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