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Finding the Fourth Proportional to 1,585.22, 2,375.55 and 1,446.86

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Solution

The fourth proportional to 1,585.22, 2,375.55 and 1,446.86 is: 2,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.22 : 2,375.55 = 1,446.86 : x
  2. Step 2: Convert to fraction form
    1,585.22/2,375.55 = 1,446.86/x
  3. Step 3: Cross multiply
    1,585.22x = 2,375.55 × 1,446.86
  4. Step 4: Simplify right side
    1,585.22x = 3,437,094.21
  5. Step 5: Solve for x
    x = 3,437,094.21/1,585.22
  6. Step 6: Final answer
    x = 2,168.22

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