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Finding the Fourth Proportional to 2,097.50, 2,892.11 and 1,743.83

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Solution

The fourth proportional to 2,097.50, 2,892.11 and 1,743.83 is: 2,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.50 : 2,892.11 = 1,743.83 : x
  2. Step 2: Convert to fraction form
    2,097.50/2,892.11 = 1,743.83/x
  3. Step 3: Cross multiply
    2,097.50x = 2,892.11 × 1,743.83
  4. Step 4: Simplify right side
    2,097.50x = 5,043,335.85
  5. Step 5: Solve for x
    x = 5,043,335.85/2,097.50
  6. Step 6: Final answer
    x = 2,404.46

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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.