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Finding the Fourth Proportional to 3,394.02, 5,092.92 and 1,834

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Solution

The fourth proportional to 3,394.02, 5,092.92 and 1,834 is: 2,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.02 : 5,092.92 = 1,834 : x
  2. Step 2: Convert to fraction form
    3,394.02/5,092.92 = 1,834/x
  3. Step 3: Cross multiply
    3,394.02x = 5,092.92 × 1,834
  4. Step 4: Simplify right side
    3,394.02x = 9,340,415.28
  5. Step 5: Solve for x
    x = 9,340,415.28/3,394.02
  6. Step 6: Final answer
    x = 2,752.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.