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Finding the Fourth Proportional to 1,582.79, 2,369.48 and 1,172.23

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Solution

The fourth proportional to 1,582.79, 2,369.48 and 1,172.23 is: 1,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.79 : 2,369.48 = 1,172.23 : x
  2. Step 2: Convert to fraction form
    1,582.79/2,369.48 = 1,172.23/x
  3. Step 3: Cross multiply
    1,582.79x = 2,369.48 × 1,172.23
  4. Step 4: Simplify right side
    1,582.79x = 2,777,563.76
  5. Step 5: Solve for x
    x = 2,777,563.76/1,582.79
  6. Step 6: Final answer
    x = 1,754.85

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