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Finding the Fourth Proportional to 1,582.56, 2,375.46 and 761.22

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Solution

The fourth proportional to 1,582.56, 2,375.46 and 761.22 is: 1,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.56 : 2,375.46 = 761.22 : x
  2. Step 2: Convert to fraction form
    1,582.56/2,375.46 = 761.22/x
  3. Step 3: Cross multiply
    1,582.56x = 2,375.46 × 761.22
  4. Step 4: Simplify right side
    1,582.56x = 1,808,247.66
  5. Step 5: Solve for x
    x = 1,808,247.66/1,582.56
  6. Step 6: Final answer
    x = 1,142.61

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