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Finding the Fourth Proportional to 1,582.77, 2,372.23 and 1,120.68

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Solution

The fourth proportional to 1,582.77, 2,372.23 and 1,120.68 is: 1,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.77 : 2,372.23 = 1,120.68 : x
  2. Step 2: Convert to fraction form
    1,582.77/2,372.23 = 1,120.68/x
  3. Step 3: Cross multiply
    1,582.77x = 2,372.23 × 1,120.68
  4. Step 4: Simplify right side
    1,582.77x = 2,658,510.72
  5. Step 5: Solve for x
    x = 2,658,510.72/1,582.77
  6. Step 6: Final answer
    x = 1,679.66

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