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Finding the Fourth Proportional to 1,582.86, 2,372.23 and 851.58

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Solution

The fourth proportional to 1,582.86, 2,372.23 and 851.58 is: 1,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.86 : 2,372.23 = 851.58 : x
  2. Step 2: Convert to fraction form
    1,582.86/2,372.23 = 851.58/x
  3. Step 3: Cross multiply
    1,582.86x = 2,372.23 × 851.58
  4. Step 4: Simplify right side
    1,582.86x = 2,020,144.69
  5. Step 5: Solve for x
    x = 2,020,144.69/1,582.86
  6. Step 6: Final answer
    x = 1,276.26

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