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Finding the Fourth Proportional to 2,362.72, 3,541.68 and 1,542.64

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Solution

The fourth proportional to 2,362.72, 3,541.68 and 1,542.64 is: 2,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.72 : 3,541.68 = 1,542.64 : x
  2. Step 2: Convert to fraction form
    2,362.72/3,541.68 = 1,542.64/x
  3. Step 3: Cross multiply
    2,362.72x = 3,541.68 × 1,542.64
  4. Step 4: Simplify right side
    2,362.72x = 5,463,537.24
  5. Step 5: Solve for x
    x = 5,463,537.24/2,362.72
  6. Step 6: Final answer
    x = 2,312.39

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