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Finding the Fourth Proportional to 1,582.74, 2,370.96 and 1,447.38

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Solution

The fourth proportional to 1,582.74, 2,370.96 and 1,447.38 is: 2,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.74 : 2,370.96 = 1,447.38 : x
  2. Step 2: Convert to fraction form
    1,582.74/2,370.96 = 1,447.38/x
  3. Step 3: Cross multiply
    1,582.74x = 2,370.96 × 1,447.38
  4. Step 4: Simplify right side
    1,582.74x = 3,431,680.08
  5. Step 5: Solve for x
    x = 3,431,680.08/1,582.74
  6. Step 6: Final answer
    x = 2,168.19

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