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Finding the Fourth Proportional to 2,137.78, 2,948.34 and 1,694.98

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Solution

The fourth proportional to 2,137.78, 2,948.34 and 1,694.98 is: 2,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.78 : 2,948.34 = 1,694.98 : x
  2. Step 2: Convert to fraction form
    2,137.78/2,948.34 = 1,694.98/x
  3. Step 3: Cross multiply
    2,137.78x = 2,948.34 × 1,694.98
  4. Step 4: Simplify right side
    2,137.78x = 4,997,377.33
  5. Step 5: Solve for x
    x = 4,997,377.33/2,137.78
  6. Step 6: Final answer
    x = 2,337.65

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