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Finding the Fourth Proportional to 2,498.67, 3,747.94 and 649.72

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Solution

The fourth proportional to 2,498.67, 3,747.94 and 649.72 is: 974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.67 : 3,747.94 = 649.72 : x
  2. Step 2: Convert to fraction form
    2,498.67/3,747.94 = 649.72/x
  3. Step 3: Cross multiply
    2,498.67x = 3,747.94 × 649.72
  4. Step 4: Simplify right side
    2,498.67x = 2,435,114.64
  5. Step 5: Solve for x
    x = 2,435,114.64/2,498.67
  6. Step 6: Final answer
    x = 974.56

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