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Finding the Fourth Proportional to 2,498.25, 3,747.39 and 1,849.44

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Solution

The fourth proportional to 2,498.25, 3,747.39 and 1,849.44 is: 2,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.25 : 3,747.39 = 1,849.44 : x
  2. Step 2: Convert to fraction form
    2,498.25/3,747.39 = 1,849.44/x
  3. Step 3: Cross multiply
    2,498.25x = 3,747.39 × 1,849.44
  4. Step 4: Simplify right side
    2,498.25x = 6,930,572.96
  5. Step 5: Solve for x
    x = 6,930,572.96/2,498.25
  6. Step 6: Final answer
    x = 2,774.17

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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.