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Finding the Fourth Proportional to 3,091.50, 4,266.16 and 1,765.13

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Solution

The fourth proportional to 3,091.50, 4,266.16 and 1,765.13 is: 2,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.50 : 4,266.16 = 1,765.13 : x
  2. Step 2: Convert to fraction form
    3,091.50/4,266.16 = 1,765.13/x
  3. Step 3: Cross multiply
    3,091.50x = 4,266.16 × 1,765.13
  4. Step 4: Simplify right side
    3,091.50x = 7,530,301.26
  5. Step 5: Solve for x
    x = 7,530,301.26/3,091.50
  6. Step 6: Final answer
    x = 2,435.81

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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.