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Finding the Fourth Proportional to 2,884.12, 3,980.16 and 1,765.03

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Solution

The fourth proportional to 2,884.12, 3,980.16 and 1,765.03 is: 2,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.12 : 3,980.16 = 1,765.03 : x
  2. Step 2: Convert to fraction form
    2,884.12/3,980.16 = 1,765.03/x
  3. Step 3: Cross multiply
    2,884.12x = 3,980.16 × 1,765.03
  4. Step 4: Simplify right side
    2,884.12x = 7,025,092.98
  5. Step 5: Solve for x
    x = 7,025,092.98/2,884.12
  6. Step 6: Final answer
    x = 2,435.79

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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.