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Finding the Fourth Proportional to 2,887.28, 3,980.04 and 2,770.64

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Solution

The fourth proportional to 2,887.28, 3,980.04 and 2,770.64 is: 3,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.28 : 3,980.04 = 2,770.64 : x
  2. Step 2: Convert to fraction form
    2,887.28/3,980.04 = 2,770.64/x
  3. Step 3: Cross multiply
    2,887.28x = 3,980.04 × 2,770.64
  4. Step 4: Simplify right side
    2,887.28x = 11,027,258.03
  5. Step 5: Solve for x
    x = 11,027,258.03/2,887.28
  6. Step 6: Final answer
    x = 3,819.25

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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.