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Finding the Fourth Proportional to 2,884.57, 3,980.49 and 1,765.05

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Solution

The fourth proportional to 2,884.57, 3,980.49 and 1,765.05 is: 2,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.57 : 3,980.49 = 1,765.05 : x
  2. Step 2: Convert to fraction form
    2,884.57/3,980.49 = 1,765.05/x
  3. Step 3: Cross multiply
    2,884.57x = 3,980.49 × 1,765.05
  4. Step 4: Simplify right side
    2,884.57x = 7,025,763.87
  5. Step 5: Solve for x
    x = 7,025,763.87/2,884.57
  6. Step 6: Final answer
    x = 2,435.64

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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.