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Finding the Fourth Proportional to 3,091.09, 4,265.87 and 1,765.22

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Solution

The fourth proportional to 3,091.09, 4,265.87 and 1,765.22 is: 2,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.09 : 4,265.87 = 1,765.22 : x
  2. Step 2: Convert to fraction form
    3,091.09/4,265.87 = 1,765.22/x
  3. Step 3: Cross multiply
    3,091.09x = 4,265.87 × 1,765.22
  4. Step 4: Simplify right side
    3,091.09x = 7,530,214.12
  5. Step 5: Solve for x
    x = 7,530,214.12/3,091.09
  6. Step 6: Final answer
    x = 2,436.11

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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.