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Finding the Fourth Proportional to 2,342.78, 3,516.24 and 1,826.10

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Solution

The fourth proportional to 2,342.78, 3,516.24 and 1,826.10 is: 2,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.78 : 3,516.24 = 1,826.10 : x
  2. Step 2: Convert to fraction form
    2,342.78/3,516.24 = 1,826.10/x
  3. Step 3: Cross multiply
    2,342.78x = 3,516.24 × 1,826.10
  4. Step 4: Simplify right side
    2,342.78x = 6,421,005.86
  5. Step 5: Solve for x
    x = 6,421,005.86/2,342.78
  6. Step 6: Final answer
    x = 2,740.76

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