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Finding the Fourth Proportional to 1,585.92, 2,365.88 and 1,541.24

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Solution

The fourth proportional to 1,585.92, 2,365.88 and 1,541.24 is: 2,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.92 : 2,365.88 = 1,541.24 : x
  2. Step 2: Convert to fraction form
    1,585.92/2,365.88 = 1,541.24/x
  3. Step 3: Cross multiply
    1,585.92x = 2,365.88 × 1,541.24
  4. Step 4: Simplify right side
    1,585.92x = 3,646,380.91
  5. Step 5: Solve for x
    x = 3,646,380.91/1,585.92
  6. Step 6: Final answer
    x = 2,299.22

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