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Finding the Fourth Proportional to 2,098.82, 2,893.97 and 1,341.57

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Solution

The fourth proportional to 2,098.82, 2,893.97 and 1,341.57 is: 1,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.82 : 2,893.97 = 1,341.57 : x
  2. Step 2: Convert to fraction form
    2,098.82/2,893.97 = 1,341.57/x
  3. Step 3: Cross multiply
    2,098.82x = 2,893.97 × 1,341.57
  4. Step 4: Simplify right side
    2,098.82x = 3,882,456.63
  5. Step 5: Solve for x
    x = 3,882,456.63/2,098.82
  6. Step 6: Final answer
    x = 1,849.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.