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Finding the Fourth Proportional to 2,135.73, 3,199.26 and 1,107.57

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Solution

The fourth proportional to 2,135.73, 3,199.26 and 1,107.57 is: 1,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.73 : 3,199.26 = 1,107.57 : x
  2. Step 2: Convert to fraction form
    2,135.73/3,199.26 = 1,107.57/x
  3. Step 3: Cross multiply
    2,135.73x = 3,199.26 × 1,107.57
  4. Step 4: Simplify right side
    2,135.73x = 3,543,404.40
  5. Step 5: Solve for x
    x = 3,543,404.40/2,135.73
  6. Step 6: Final answer
    x = 1,659.11

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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.