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Finding the Fourth Proportional to 1,828.55, 2,742.69 and 596.54

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Solution

The fourth proportional to 1,828.55, 2,742.69 and 596.54 is: 894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.55 : 2,742.69 = 596.54 : x
  2. Step 2: Convert to fraction form
    1,828.55/2,742.69 = 596.54/x
  3. Step 3: Cross multiply
    1,828.55x = 2,742.69 × 596.54
  4. Step 4: Simplify right side
    1,828.55x = 1,636,124.29
  5. Step 5: Solve for x
    x = 1,636,124.29/1,828.55
  6. Step 6: Final answer
    x = 894.77

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