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Finding the Fourth Proportional to 1,792, 2,688.16 and 493.56

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Solution

The fourth proportional to 1,792, 2,688.16 and 493.56 is: 740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792 : 2,688.16 = 493.56 : x
  2. Step 2: Convert to fraction form
    1,792/2,688.16 = 493.56/x
  3. Step 3: Cross multiply
    1,792x = 2,688.16 × 493.56
  4. Step 4: Simplify right side
    1,792x = 1,326,768.25
  5. Step 5: Solve for x
    x = 1,326,768.25/1,792
  6. Step 6: Final answer
    x = 740.38

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